{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6c0f5d85",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import emcee\n",
    "import celerite\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from celerite import terms\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f1e8e9ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "def DRW_process(t,tau,SF,m):  \n",
    "    r=np.diff(t)/tau\n",
    "    ls=[np.random.normal(m,SF/1.414,1)[0]]\n",
    "    for i in range(len(t)-1):\n",
    "        if r[i]<0:raise TimeSerieError('时间序列未排序')\n",
    "        stdev=(1-np.exp(-2*r[i]))**0.5*SF/1.414\n",
    "        loc=ls[i]*np.exp(-r[i])+m*(1-np.exp(-r[i]))\n",
    "        ls.append(np.random.normal(loc,stdev,1)[0])\n",
    "    return np.array(ls)\n",
    "\n",
    "def log_like(params,y,gp,method):\n",
    "    gp.set_parameter_vector(params)\n",
    "    if method=='MAP':\n",
    "        return -gp.log_likelihood(y)+0.5*params[0]-params[1]*0.5\n",
    "    else: return -gp.log_likelihood(y)\n",
    "\n",
    "def log_probability(params,y,gp):\n",
    "        gp.set_parameter_vector(params)\n",
    "        lp=gp.log_prior()\n",
    "        log_a=gp.get_parameter_dict().get('kernel:log_a')\n",
    "        log_c=gp.get_parameter_dict().get('kernel:log_c')\n",
    "        if not np.isfinite(lp):\n",
    "            return -np.inf\n",
    "        return gp.log_likelihood(y)+lp-0.5*log_a+log_c*0.5\n",
    "\n",
    "\n",
    "def DRW_fit(t,s,err,method='MAX',tl=[1,5000],sl=[0.02,0.7]):\n",
    "    # Set up the GP model\n",
    "    bounds=dict(log_a=(2*np.log(sl[0]),2*np.log(sl[1])),\n",
    "                log_c=(-np.log(tl[1]),-np.log(tl[0])))\n",
    "    kernel=terms.RealTerm(log_a=np.log(0.1414),log_c=-np.log(400),bounds=bounds)\n",
    "    gp=celerite.GP(kernel,mean=np.mean(s),fit_mean=True)\n",
    "    gp.compute(t,err)\n",
    "    # Fit for the maximum likelihood parameters\n",
    "    initial_params = gp.get_parameter_vector()\n",
    "    soln=minimize(log_like, initial_params,method=\"L-BFGS-B\",args=(s,gp,method))\n",
    "    \n",
    "    gp.set_parameter_vector(soln.x)\n",
    "    rt=np.exp(-gp.get_parameter_dict().get('kernel:log_c'))#MLE or MAP\n",
    "    rs=np.exp(gp.get_parameter_dict().get('kernel:log_a')/2)\n",
    "    if method=='MLE' or method=='MAP':\n",
    "        return np.array([rt,rs])   \n",
    "    #MCMC\n",
    "    initial=np.array(soln.x)\n",
    "    ndim, nwalkers=len(initial),16\n",
    "    sampler=emcee.EnsembleSampler(nwalkers,ndim,log_probability,args=(s,gp))\n",
    "    #Running burn-in\n",
    "    p0=initial+1e-4*np.random.randn(nwalkers,ndim)\n",
    "    p0,lp,_=sampler.run_mcmc(p0,125)    \n",
    "    #Running production\n",
    "    sampler.reset()\n",
    "    sampler.run_mcmc(p0,500)\n",
    "    #Markov chains\n",
    "    t_chain=np.exp(np.sort(-sampler.flatchain[:,1]))\n",
    "    s_chain=np.exp(np.sort(sampler.flatchain[:,0]/2))\n",
    "    return t_chain\n",
    "\n",
    "def MLE_chain(t,s,err,tl=[1,5000],sl=[0.02,0.7]):\n",
    "    def log_like2(params,y,gp):\n",
    "        gp.set_parameter_vector(params)\n",
    "        return -gp.log_likelihood(y)\n",
    "    \n",
    "    def log_prob(params,y,gp):\n",
    "        gp.set_parameter_vector(params)\n",
    "        lp = gp.log_prior()\n",
    "        if not np.isfinite(lp):\n",
    "            return -np.inf\n",
    "        return gp.log_likelihood(y) + lp\n",
    "        \n",
    "    # Set up the GP model\n",
    "    bounds=dict(log_a=(2*np.log(sl[0]),2*np.log(sl[1])),\n",
    "                log_c=(-np.log(tl[1]),-np.log(tl[0])))\n",
    "    kernel=terms.RealTerm(log_a=np.log(0.1414),log_c=-np.log(400),bounds=bounds)\n",
    "    gp=celerite.GP(kernel,mean=np.mean(s),fit_mean=True)\n",
    "    gp.compute(t,err)\n",
    "    # Fit for the maximum likelihood parameters\n",
    "    initial_params = gp.get_parameter_vector()\n",
    "    soln=minimize(log_like2, initial_params,method=\"L-BFGS-B\",args=(s,gp))\n",
    "    \n",
    "    gp.set_parameter_vector(soln.x)\n",
    "    rt=np.exp(-gp.get_parameter_dict().get('kernel:log_c'))\n",
    "    rs=np.exp(gp.get_parameter_dict().get('kernel:log_a')/2)\n",
    "    #MCMC\n",
    "    initial=np.array(soln.x)\n",
    "    ndim, nwalkers=len(initial),32\n",
    "    sampler=emcee.EnsembleSampler(nwalkers,ndim,log_prob,args=(s,gp))\n",
    "    #Running burn-in\n",
    "    p0=initial+1e-4*np.random.randn(nwalkers,ndim)\n",
    "    p0,lp,_=sampler.run_mcmc(p0,500)    \n",
    "    #Running production\n",
    "    sampler.reset()\n",
    "    sampler.run_mcmc(p0,2000)\n",
    "    #Markov chains\n",
    "    t_chain=np.exp(np.sort(-sampler.flatchain[:,1]))\n",
    "    s_chain=np.exp(np.sort(sampler.flatchain[:,0]/2))\n",
    "    return t_chain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "4c00336b",
   "metadata": {},
   "outputs": [],
   "source": [
    "t=np.sort(np.random.randint(0,2922,60)+np.random.uniform(-0.13,0.13,60))\n",
    "y=DRW_process(t,292,0.2,18)\n",
    "ls_sdss=[]\n",
    "lsigma=[]\n",
    "for i in range(60):\n",
    "    #s=np.sqrt(0.004**2+np.exp(1.63*(y[i]-22.55)))\n",
    "    s=np.sqrt(0.013**2+np.exp(2*(y[i]-23.36)))\n",
    "    lsigma.append(s)\n",
    "    ls_sdss.append(np.random.normal(y[i],s,1)[0])\n",
    "s_sdss=np.array(ls_sdss)\n",
    "sigma=np.array(lsigma)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "237893b1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MLE= 222.8726361356863 MAP= 191.971791824751\n",
      "PM= 280.3853930211427 PE= 419.6035967421757\n"
     ]
    }
   ],
   "source": [
    "c1=\"#009ad6\" #PE\n",
    "c2='#f15a22' #MLE\n",
    "c3='#7fb80e' #PM\n",
    "c4='#aa2116' #MAP\n",
    "\n",
    "MAP=DRW_fit(t,s_sdss,sigma,method='MAP')[0]\n",
    "MLE=DRW_fit(t,s_sdss,sigma,method='MLE')[0]\n",
    "chain=DRW_fit(t,s_sdss,sigma)\n",
    "mle_chain=MLE_chain(t,s_sdss,sigma)\n",
    "print('MLE=',MLE,'MAP=',MAP)\n",
    "print('PM=',np.median(chain),'PE=',np.mean(chain))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "e6cc512e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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AIIoili9fLr2+4YYbInYsX9O/hLKtJ9u3b8ell14qTekzcuRInHfeeRgyZAjy8/Oh1WqlY7z88stYt24dAEidkp2cDbWA6P6OEZF/DDKJqFdylsoCoc8FmJWVhWXLlqGsrAwHDx7Ejh078NOf/tRtu3nz5mHXrl1YvXq1xyBz9erV0Gq1+MUvfhFUkBkP3WUDVVBQoHjd0tIS0SBzxIgR+PDDDwE4/n/5Iw9A2tragjqmPMtmMpkCek+g2/lSU1MjPR8wYIDf7bu6uqQpXtRqNc4444weHS+Wn7sRI0ZIJcnV1dV+u8tWV1cr3hvvPv74Y+nny8nJwRVXXBHjMwqPP/7xj1KA+eSTT+LWW2/1uu22bdu8rpOXl0fzd4yI/GOQSUS90vfffy899zeOJxClpaXIzc1FU1MTampqPAaZkyZNwkknnYTXXnsNS5cuVQQhu3fvxldffYUrr7zS51gnX+6991588sknQf8McgMHDozo+DjXoCTYnzlQ48aNk567ltx50tLSIj0PNuPVr18/6Xkg2VBRFKXpOEJhsVik596mLJF74403pGzgjBkzelxGGsvP3dixY/Huu+8CAHbs2IH58+f73H7Hjh2K98Y7+RQr11xzDXQ6XQzPJjysVis2bdoEwDF1jq8AE1DeGHDVt29f6XkgvzuiKEpBOxFFFsdkElGvJL/oHzZsWMj7s9vt0h1yX41TrrvuOnR0dOA///mPYvmqVasAwOdYwWTivMgEHNm2SF88z5gxQyq/27Nnj9dxYk7yTLKzSVFP5efnS+O/6uvrpXkovfnss88UJbbBkmeE/V1QW61WaR5CAPjVr34V8vGjafr06dLz999/3+d4vsrKSmkcdkZGRo8zttHW0NCA119/XXq9cOHCGJ5N+DQ0NEhDFfx995rNZsV3havCwkKUlpYCcDQBkleoeLJjx46gKxOIqGcYZBJRryTPVOXm5oa8v/fee0/KIMmzZq6uvfZaqNVqrF69WlpmtVrx4osvok+fPrjggguCPodE6fLZ0dGBhx56SHp98cUXR+xYTsXFxTjvvPMAOC5c5f/+roxGI55//nnp9YwZM4I+rry88dFHH/W5bbi67J588snS8/fff99n4HrLLbfghx9+AOAI2IIpkY7l527y5MlSo6KamhqsX7/e67Z///vfpeeXXXaZ33G5sfb888+jq6sLgKMKIhwVF/FAPibSW0dup7///e9Slt2byy67TLG9L4899lgAZ0hEYRHczCdERIlNPvH9559/HtB7Bg4cKAIQN23aJC2rr68XX3rpJbGwsFAEIM6YMcPr+7744gtRFEXxwgsvFAGIFRUVoiiK4muvvSYCEO+8805RFEVx1apVXvcVz1avXi2+++67os1m87rNsWPHxHPPPVf6t09LSxNramp6dBwEOc/drl27RJVK1aN5MocOHSpardYeHUfu0KFDosFgkPb35JNPetzOdaL7UP48m81m6fMIQJw9e7ZosVgU27S1tYkLFixQzAfa0/8P8WL16tXSz1FYWCju3bvXbZtXXnlFFARBBCBqtVqxsrLS6/6uu+46aX/XXXddj88nHP8PRVEUTzrpJGk/K1asCGlf3sjnyTzrrLOitq183toXX3zR4z6WL18uqtVqxb+n/LvXqaqqStTpdNI2S5cu9bi/xx57LGy/Y0TkH8dkElGvNGbMGGkuwcsvvxxXX301CgoKMHr0aEybNs3ne701FznnnHMUGTBv5s6di/feew/PPfccHnjgASmrluilsl999RX++c9/ori4GOeffz7Gjh2L4uJiaLVaNDQ04LPPPsP69evR0dEBwNGh8rnnnvM6ZUZLSwsef/xxn8eUT4XiJM+Syp1yyil44IEHcO+996KtrQ1nnHEG5syZg3POOQfp6ekoLy/H6tWrpbFdOp0Oa9eu9dgpOFD9+/fHP//5TyxYsAAA8Nvf/havv/46rrjiChQWFqK2thbr1q3D559/jiFDhsBgMPgtq129ejXmzZsHwPMYxrS0NPzpT3/Cr3/9awDAunXrsGvXLsyaNQs5OTmorq7Gm2++KY2LLSgowLvvvptQU5fI/fKXv8Qbb7yBN954A8ePH8dpp52G+fPnY+LEibBYLPjggw/wyiuvSFMHPfbYYxg0aFDIxw3351Nu69at2Lt3LwDHVCuzZ88O7iTj1OLFi6VOuddccw1effVVnHvuuSgoKMChQ4fw2muv4dNPP0VGRgYuuOACnxnqsrIy/O1vf8Mtt9wCALj55puxfv16XHrppSgqKkJtbS3Wr1+PrVu3YtiwYTAYDPjyyy8DGq9MRCGIdZRLRBQLVVVVYlZWltud7fvvv9/re5wZyQsuuEC87rrrxOuuu0688cYbxQcffFDcunWr3/c5M5mdnZ1iTk6OOHDgQPHo0aOiRqMRTzvtNGn7RM1k3nrrrW7/nt4eAwYMEDdu3Ohzf/JsSE8e/vztb38TtVqt3/MLNMMdiH/9619iSkqK1+MNGTJE/P7778WzzjrL78/h/HwAEAcOHOh1u9/+9rd+/63OOecc8eDBg2H7OWPFbDaLc+bM8fmzarVa8e9//7vffQWayYzU51MURfGXv/yltP1NN90U6D9Dj8UqkymKorho0SKf/06FhYXihx9+KN53330+M5lOf/3rX90yn/LH0KFDxb1794qTJ08WAUc1AxFFDjOZRNQrlZWVYdu2bfjzn/+M//3vf2hoaIDdbleMZ/PGdZ7MntJqtbjqqqvwzDPPYOHCheju7k74LCYA3HnnnTjttNOwfft2fPnllzh27BgaGxvR3t4Og8GA4uJiTJgwARdddBEuu+wypKSkxOw8L7vsMixfvhzvv/8+Dh48CKPRiLy8PJx88smYNWsW5s2bF9Yxe7/5zW9w3nnn4cknn8R///tf1NbWQq/XY9CgQbjiiitw8803K7oN++LMBAOOxife/OMf/8All1yCZ599Flu3bkVdXR1SUlLQp08fnHnmmZgzZ45ivtJElpaWhpdeegnXX389Vq9ejW3btuHo0aNITU1F//79ccEFF+DGG28MS5OvSGttbcUrr7wivU6Whj+uli5diosuugj//ve/sX37djQ1NSE7OxulpaWYOXMmbrzxRhQWFmLLli0B7e+uu+7ChRdeiH/961/46KOPcPToURgMBgwePBhXXHEFbrrpJmRkZEgZ/Ly8vEj+eES9niCKJ+pHiIjIp9LSUtTU1GDTpk09CjKd7/viiy8wYcIEAMAXX3yB0047DYDjAvno0aPSVBnOcsgZM2bg7bffDvePQQnu5z//uRSEvPPOO4oOq0TkXVNTEwoKCmC323HJJZcouvcSUXixuywRUQxMnDgRP/nJT5CXl4c5c+YEPRcj9S52ux0fffQRAGDq1KkMMIl64KmnnpKmuZk6dWqMz4YoubFclogoRj777LNYnwIlmC+++AJNTU1QqVR+p2sg6i1aW1tRWVmJU045xes2a9askZouZWZm4tprr43W6RH1SgwyiYiIEsTGjRsBODqqBjJ+mKg3qK+vx6mnnopRo0bhvPPOw6hRo5CTk4POzk5UVlbirbfewq5du6TtlyxZgqysrBieMVHyY5BJRESUIP74xz/ij3/8Y6xPgygu7dmzB3v27PG6Pi0tDU899RSzmERRwMY/RERERJSwuru7sWHDBrz//vv46quvcPz4cTQ2NsJqtSI7OxsjRozAueeei5tuuglFRUWxPl2iXoFBJhEREREREYUNu8sSERERERFR2DDIJCIiIiIiorBhkElERERERERhwyCTiIiIiIiIwoZTmJBPxcXFMJlMKCkpifWpEBERERH1egcPHoRer8exY8difSpeMZNJPplMJlit1lifBhERERERAbBarTCZTLE+DZ+YySSfnBlMX5MbExERERFRdIwaNSrWp+AXM5lEREREREQUNgwyiYiIiIiIKGwYZBIREREREVHYMMgkIiIiIiKisGGQSURERERERGHDIJOIiIiIiIjChkEmERERERERhQ2DTCIiIiIiIgobBplEREREREQUNgwyiYiIiIiIKGwYZBIREREREVHYaGJ9AkRERETUO4miCFEUY30aRBEjCAIEQYj1aUQdg0wiIiIiiprOzk60tLSgra0NNpst1qdDFHFqtRqZmZnIzs5GWlparE8nKhhkEhEREVHEiaKIY8eOoaWlJdanQhRVNpsNzc3NaG5uRnZ2NoqLi5M+u8kgk4iIiIgirrGxUQownVkdrVYLlYotQih52e12WCwWKXvf0tKClJQU5Ofnx/rUIopBJhERERFFlMViQX19PQCguLgYOTk5MT4jouhQqVTQaDTQ6/XQ6XSoq6tDfX09MjIyoNVqY316EcNbR0REREQUUUajEQCg1+sZYFKvlZubC71eD+DH34lkxSCTiIiIiCLKeUFtMBhifCZEseX8HWCQSUREREQUArPZDABSFoeot3L+Djh/J5IVg0wiIiIiihj5XJgaDduBUO+mVqsBJP8csfxNJyIiIqKIkV9Ix/W0DSaT7/XMwlIYyLspi6IY378TIWCQSURERETkb7xoEmediMKN5bJEREREREQUNgwyiYiIiIiMRqC62n15dbVjHREFjOWyRERERER6PdDR4Xk5x2MS9QgzmURERERERBQ2DDKJiIiIiIgobBhkEhERERERUdhwTCYREREREWHv3r1Ys2YNtm7din379qG1tRWiKCIjIwMDBgzAsGHDcOqpp+LMM8/ExIkToVar3fZx4MABlJWVedy/RqNBZmYmMjMzUVRUhLFjx2LcuHGYPn06SktLe3y+X3zxBV588UV8/vnnqKysRGtrK1QqFTIzMzFw4ECMGDECp556Ks455xyMHTvW55yUNpsN7777LtavX49du3bhyJEjaG9vh1arRW5uLsrKyjB69GhMnDgRU6dORUlJSY/PtzcRRJGT/pB3o0aNAgDs2bMnxmdCREREichut2Pfvn0AgOHDhysmo4879fVAYaFy2fHjQEFBbM4nSjo7O3HLLbdg+fLlCDQ0uOGGG/B///d/bst9BZneCIKAs88+G/fccw+mTp3qd/vGxkYsXLgQr7/+esDH+Mtf/oI//OEPHtd9/fXXuO6667B79+6A9/fpp5/i9NNPD3h7p3D8PiTC9TkzmUREREREvZTNZsNFF12Ejz76SFp29tln47zzzkNpaSm0Wi1aWlqwb98+bN++HZ9++ilsNhtsNltA+3cNBNvb29Ha2op9+/Zhx44d+OKLLyCKIjZt2oRNmzbh+uuvx9NPP43U1FSP+zMajTj77LPx3XffAQDUajUuvPBCnHnmmejfvz80Gg2amprw/fff49NPP8WuXbsgiqLX8929ezfOPvtstLa2AgAyMzNx6aWXYuLEiSgoKIDNZsPx48exe/dubN68GVVVVdK/G3nHIJOIiIiIqJdatmyZFGBmZ2fj9ddfx9lnn+11++bmZqxduxZmszmg/V9yySU+1+/btw8PPvggXnzxRQDA8uXLYTKZ8OKLL3osb33wwQelALOkpARvv/02xowZ43X/R48exfPPP48+ffp4XL9w4UIpwJw6dSrWrVuHvLw8r/v79ttvsWLFChgMBp8/V2/HclnyKRHS8URERBS/WC4b3yZNmoQdO3YAAJYuXYpFixaFtD/XctlAQ41///vfimMvWbIEv/rVr9y2Ky4uRl1dHQDg3XffxYUXXhj0ue7duxcjR44EAOh0Ohw6dMhngBkOvaVcNo5/y4mIiIiIKJL27t0rPfeVwYy0m266SRFkPvzww27Z0qamJinABEI/X/nPPmbMmIgHmL0Jg0wiIiIiIm9OjMFLVt3d3dJzeQAXC3/605+g1WoBOMpc33rrLcV6+bkCoZ9vPP3syYZBJhERERERAKxd675s8mRg1aron0uUDB06VHr+j3/8I+Dy1kgoLi7GeeedJ73etGmTYn1+fj5ycnKk13//+99DOp78Z6+pqcGrr74a0v7oRwwyiYiIiIjKy4HFi92X22zAwoWO9UnommuukZ5v2LABp59+OlavXo3Dhw/H5HwmT54sPd++fbtinUqlwpw5c6TXS5YswQUXXID//Oc/qK+v7/Gxxo0bJ41vBICrrroKCxcuxIcffgiTyRTE2ZMTg0wiIiIiohUrHAGlJzYbsHJldM8nSm655RaceeaZ0uvt27dj3rx5GDBgAIqKinDhhRfij3/8I95//310dnZG/HxKS0ul554CxwcffBAnnXSS9Hrjxo2YPXs2CgsLMWDAAMyaNQsPP/wwNm/e7FZe60oQBKxatUrqFNvd3Y3ly5fjZz/7GTIzMzFy5EhcffXVeOqpp/DNN9+E5wfsJRhkEhEREREdOBDa+gSl1WqxceNG3HPPPcjIyFCsO378ON5//3089NBDuPDCC1FYWIhFixbhyJEjETsfeTlsY2Oj2/rc3Fx8/vnnWLRokdtcmocPH8aGDRtw77334pxzzkGfPn3whz/8Ac3NzV6PN3HiROzcuRPTpk1TLLfb7di7dy9eeukl3HLLLRg3bhyGDx+OZcuW+Q1eiUEmEREREREgy6AFtT6BabVaPPTQQzhy5AheeOEFzJ07FyNGjHCbXqO9vR3//ve/MWbMGGluzXCTjwn1NE8mAGRmZmLp0qU4cuQInn32WcyZM0cxbYpTQ0MD/vrXv+Lkk0/2mYkcPnw43nvvPezfvx+PPPIIpk+fjgIP09bs378fN954I84991y0tLT0/IfrRThPJvmUCPPwEBERUfxKmHkyy8uBk07yXDKrVgN79wKyRjG9gdFoxNdff40tW7Zg3bp1ikDNYDDgm2++waBBgxTvCXaeTKeXXnoJV199NQBgwIABOHjwYMDvbWlpwa5du/DJJ59g7dq1qKiokNb17dsX33//PbKysgLe3+HDh/HFF1/gww8/xNq1axUZ0enTp+Odd94JeF9OnCeTiIiIiKi3GDoUeOIJ9+VqNbB8ea8LMAFHIDllyhT84Q9/wNdff42VK1dCrVYDcASgf/vb38J+zOrqaum5p2yiL9nZ2Zg6dSoeeOAB7Nu3Dw899JC0rra2FkuXLu3R/vr3749LL70UTz/9NA4cOIBLLrlEWvfuu+/is88+69H+ehMGmUREREREACDrXCrZtg2YOzfqpxKP5s2bh5tvvll6vXHjxrAfY9u2bdLzn/zkJ0HvR6VS4Z577sHFF18sLQvlfDMzM/HSSy+hsLAwLPtLdkkfZIqiiMrKSrzyyiu4++67ceGFF6K4uBiCIEiPnqqoqMA999yDyZMno6CgAKmpqUhPT0dJSQmmT5+Op59+Gq2trRH4adzdfffdip/l7LPPjspxiYiIiHoFl3LQ3u6CCy6QntfW1oZ130ePHlWM9Tz33HND3mc4z1en0yk68Yb7508mmlifQKTdfvvteMJT6UMQRFHEfffdh0ceecStq5TVasWhQ4dw6NAhvPfee7j//vuxfPlyzJw5MyzH9mTHjh149NFHI7Z/IiIiIiI5q9UqPXftRhuqBx54AF1dXQCAfv364aKLLgp5n+E+30j+/Mkk6YNMm8vgba1Wi9GjR2PXrl093tc999yDRx55RHo9YcIEXHrppSgpKYHFYkFFRQWee+45HD16FPX19bjsssuwcePGsNyFcdXZ2Ym5c+fCZrNBr9dzwlgiIiIi6rFjx46huLg44O1ff/116fmYMWPCdh7//ve/8e9//1t6fe+990Kr1Sq2sdvtaGxs7NFYzTfeeEN67nq+LS0t0Ol0bsfxprm5GZs3b/a6P/pR0pfLjhw5ErfeeitWr16Nb775BkajETt37uzxfg4dOqTIGi5duhRffPEF7r77blxzzTVYsGABHnnkEVRXV2P27NkAHAHuXXfdFbafRe7ee+/F3r17kZmZid///vcROQYRERERJbeJEyfi2muvxZYtW3x2grXZbHjsscfw/PPPS8vmhmGs6v79+3Httddi0aJF0rJrrrkGN954o9u2XV1dGDhwIH7961/jyy+/9Llfi8WC3/3ud/jkk0+kZdddd51im88//xxlZWV45JFHcOjQIZ/7q6urw2WXXSYNicvOzsasWbP8/ny9VdJnMm+44Yaw7Gfjxo1SVnTChAmKXwQ5rVaLpUuX4tVXX0V3dzd27twJo9EIg8EQlvMAgE8//RT/+Mc/AACPP/44UlJSwrZvIiIiIuo9rFYrXnjhBbzwwgvo27cvzjzzTJxyyikoLi5Geno6WltbsWfPHrz55puorKyU3nfRRRfhl7/8pd/9yzOJAGAymdDS0oL9+/dj+/bt2LFjhyK4veGGG7BkyRKvfVPMZjOefvppPP300xg8eDCmTJmCcePGoaCgAFqtFk1NTdi9ezdef/11xZjJm2++2WPvkqNHj+Luu+/GPffcg1NPPRU/+clPMHLkSOTm5gJwZHq3b9+ODRs2SJWDKpUKzzzzDLKzs/3+/L1V0geZ4VJXVyc9HzZsmM9tc3NzkZ+fj2PHjgFAWIPMjo4OzJ07F3a7HVOnTsXChQuxevXqsOybiIiIiHqXcePGYePGjRBFEbW1tXj55Zfx8ssve90+JSUFv/71r/G3v/0toAaal156qd9tnM0r7733Xp/DzNRqNcaMGYNvv/0WAFBZWYnKyko899xzXt+j1+txzz33eKz8KywsRL9+/XDkyBGIooidO3f6rXgsKSnBkiVLFF1ryR2DzAAVFRVJz50TqHrT1NSEhoYGAEB+fr7ivaH6wx/+gPLycuj1eixfvjxs+yUiIiKi3uf999/HsWPH8OGHH+LTTz/Ft99+i6qqKjQ3N6Orqwt6vR75+fkYOXIkzjrrLMyePRsDBgwI6lhqtRoZGRnIzMxEcXExxo4di/Hjx2PGjBkYOHCg3/enpKRg9+7dOHDgAD766CN8+umn2LNnDw4cOICWlhapV0lxcTFGjx6NqVOn4oorrvA6hvOUU07BoUOH8OWXX+KTTz7B559/jn379uHw4cNob2+HIAjIyMhASUkJTj75ZMyYMQMXXXQR0tLSgvr5exMGmQGaMWMGtFotLBYLdu3ahWeeecZjyazFYsGiRYuk7rOLFy8OapoUT/73v//hqaeeAgA88sgjKC0tDct+iYiIiKj3Ki4uxjXXXINrrrkm5H2Vlpb6HNsZDqWlpViwYAEWLFgQ8r4EQcCpp56KU089NQxnRk4MMgNUXFyMJ598EjfffDNEUcTNN9+MlStX4rLLLpO6y5aXl0vdZQVBwJ133hm2xj8mkwnz5s2DKIqYMmUKfv3rX4dlv0REREQEwGRyPDwtT08H9PronxNRgmKQ2QM33XQTSkpKsHjxYuzbt89r3fbVV1+N2267DePHjw/bse+44w5UVVUhLS0NK1asCFt21GnUqFEel1dWVmLw4MFhPRYRERFR3PHWP6OszPHfCGfniJJJ0k9hEm7Tpk3DU089hbFjx3rd5pVXXsFf/vIX1NTUhOWYH330kTRv0P333++38RAREREREVGsMJPZA4cPH8bll1+OHTt2ICsrC4899hguueQSqVz2m2++wdKlS7F27VqsX78eW7ZswTvvvBNSjXd7ezvmz58PURQxceJE3HbbbWH8iX60Z88ej8u9ZTiJiIiIkorRGOszIEoaDDIDdPz4cUyaNAm1tbXIzs7GZ599hhEjRkjrU1NTMWXKFEyZMgUnn3wyfv/736Ourg5XXHEF9u3bh9TU1KCOu3jxYhw8eBCpqalYuXIl1Gp1uH4kIiIiInLimEuisGG5bIAefvhhaULX22+/XRFgurrjjjukktYDBw64TUIbqA8++ECapuSee+7B6NGjg9oPERERERFRtDCTGaA333xTen7++ef73FalUuG8887D/v37AQDbt2/Hz3/+8x4f0zkOMyUlBTabDQ899JDH7b766ivpeU1NjbRdWloabr/99h4fl4iIiIiIKFgMMgPkzGICQHZ2tt/ts7KypOfGIGv8nXMMWa1WPPDAAwG958CBA/jjH/8onQODTCIiIiIiiiaWywYoIyNDen7w4EG/28s7y+bn50fknIiIiIiIiOINg8wAyacsefHFF31u29TUhHfeeUd6PWnSpKCO+cYbb0AURb+PVatWSe8566yzpOUtLS1BHZeIiIiIiChYDDIDdM0110jPV69ejWXLlnncrq2tDbNnz0ZraysAoH///vjZz37mcdvS0lIIggBBELB69eqwnzMRERFRrAmCID232+0xPBOi2JP/Dsh/N5JN0o/JbGlpweOPP+5zm3vvvddtmWuTnblz52LNmjX45JNPIIoibrzxRqxZs8Ztnsw1a9agrq4OAKBWq/HMM89Ap9OF7wciIiIiSiCCIECtVsNms6GrqwsaTdJffhJ51dXVBcARJzDITGAtLS14+OGHfW7jab1rkKlWq/HWW29h4cKFWLduHQBg69at2Lp1q8d95ufnY/ny5bjooouCPHMiIiKi5KDX69HW1ob29nakp6fH+nSIYqa9vR2A43cimbFctgcyMjLw8ssvY8eOHbjlllswYcIE5ObmQqPRQKfToX///pgxYwaWLFmCiooKzJo1K9anTERERBRzmZmZABw3/81mc4zPhig2zGaz1DPF+TuRrATROU8GkQejRo0CAOzZsyfGZ0JERESJym6349ChQ+jo6IBKpUJ2djYyMjKQmpoKlYo5D0pedrsdXV1daG9vR0tLC+x2O9LT0zFgwICgP/uJcH2e9OWyRERERBRbKpUKAwYMkALNpqYmNDU1xfq0iKIu1AAzUTDIJCIiIqKIcwaaJpMJbW1tMJlMsNlssT4toohTq9XQ6/XIzMyEXq9P+gATYJBJRERERFGiUqmQkZGBjIwMAJDm9iZKVs7pCnsbBplEREREFBO99QKcKNklf66WiIiIiIiIooZBJhEREREREYUNg0wiIiIiIiIKGwaZREREREREFDYMMomIiIiIiChsGGQSERERERFR2DDIJCIiIiIiorBhkElERERERERhwyCTiIiIiIiIwoZBJhEREREREYUNg0wiIiIiIiIKGwaZREREREREFDYMMomIiIiIiChsGGQSERERERFR2DDIJCIiIiIiorBhkElERERERERhwyCTiIiIiIiIwoZBJhEREREREYUNg0wiIiIiIiIKG02sT4CIiIgoKZlMvtfr9dE5DyKiKGOQSURERBQJBoPv9aIYnfMgIooylssSERERERFR2DDIJCIiIooEoxGornZfXl3tWEdElKRYLktEREQUCXo90NHheTnHYxJREmMmk4iIiIiIiMKGQSYRERFRNFVVxfoMiIgiikEmERERUaSsXeu+bPJkYNWq6J8LEVGUMMgkIiIiioTycmDxYvflNhuwcKFjPRFREmKQSURERBQJK1Y4AkpPbDZg5crg9msy+X4QEcUYu8sSERERRcKBA6Gt98Zg8L1eFIPbLxFRmDDIJCLq7fxlPjjVAlFwSktDW09ElKBYLktE1NsZDL4fRBScBQsgqtWe16nVwPz5we3XaASqq92XV1c71hERxRiDTCIiIqIIEIcMQePdd7uvUKuB5cuBoUOD27Fe77nCwNtyIqIoY7ksEVFvZzQC9fVAWZlyeXU1UFAQm3MiSgLHjx/HsTPPRL7rim3bgEmTYnFKRERRwUwmEVFvx6wIUdi1tbXh8OHDnlcOGhSZg1ZVRWa/REQ9xCCTiIiIKIy6urpQXV0NldkMldnsvkE4phpZu9Z92eTJwKpVoe2XiCgMWC5LRESeVVWxXJaoh+x2OyorK9Hd3Y1TzzjD80bO0vRgpxopLwcWL3ZfbrMBCxcCU6YEP96TiCgMmMkkIiJmRYjCQBRFHDx4EB0dHZE90IoVjoDSE5sNWLkysscnIvKDmUwiot6OWRGisGhoaEBjY6P0+tDevRgwYABsNht2794tLR89ejRSUlKCP9CBA6GtJyKKMGYyiYh6O2ZFiEJmNBpx6NAh6bVer0e/YcMAvR6qjAzYdTrpYUtLC6mpVmefPr436Nfvx3Gfrg8ioihgkElE1NsxK0IUEqvViqqqKognxlimpKRg8ODBUKkcl1mCIECtVkvb2+32oI/V2dmJqrPPhqjycQn3978DBoPnBxFRFDDIJCLq7UpLQ1tP1Is5G/1YrVYAjoBy0KBBbuWw8iDT5q1ywI/u7m5UVFTA3L8/Dv3ud27rfQaeTsxqElEUMMgkIurtFiwAZBfACmo1MH9+dM+HKIEcPnwYJlnANmDAABg8ZAxVsgAwmCBTFEVUV1fDYrEAAJqnTXPbpnz1any1ZQu+3bDB+46Y1SSiKGCQSUTU2w0dCjzxhPtytRpYvpxNf4i8aGxsRH19vfQ6Ly8P+fn5HrcNNZN55MgRtLW1Sa+Liorctuk7ZQrE9HTYdboe75+IKJwYZBIRETBnjvuybduAuXOjfipEiaCjowM1NTXS6/T0dJSUlEAQBI/bhxJkNjU1oa6uTnqdk5qKIg+ZSIMgYKCXIFehuhowGnt0DkREPcEpTIiIyLNBg2J9BkRxqbu7G5WVlVKjH41Go2j040mwQabJZMIBWfMtnU6HQaNGed64rAx5ADq/+sr3TvX6kLrbEhH5w0wmEVFvZzJB9JTVYHMQIjeiKKKqqgpdXV3SsrKyMqSmpvp8XzBBptVqVQSzarUagwcP9vu+vp984nuDqqqAjk9EFCxmMomIejuDAR4L/MrKHP89cYFLRI6xke3t7dLr/v37IzMz0+/7ejqFiWvXWgAYNGgQtFqt71LXigoIp57qe+eTJwNLlgDXXut4zawmEYUZM5lEREREAWhublaOjczJQWFhYUDv7UkmUxRFHDp0yK1rrRTMOstdPT3WrgX8ZUptNmDRInaZJaKIYSaTiKi3MxrR0NCAQ4cOSYs0Gg3GjBkTw5Miii9ms1kxNjItLQ0DBw702ujHVU+mMKmvr0dDQ4P0Oi8vDwUFBYGdqOwciYhihZlMIqLeTq9Hp1oNu04nPaypqRDT01lGR4QfG/04y1ydYyPV3uaX9SDQTGZ7e7viho9er/fZtdZNaWnA54SLL2aXWSKKCAaZREQkTfDuJIpiUHP5ESUbURRx4MABxe9IWVkZ0tLSerSfQIJMi8WCyspK6XVKSorfrrVuFixwzHEbiLIy3kgioohgkElEROjs7HRb1t3dHYMzIYovR48eRWtrq/S6T58+yMrK6vF+/AWZNpsNlZWV0jpBEDB48GCkpKT07EBDhwJPPBHYtr/4Rc/2TUQUIAaZRES9nCiKbplMAIqulkS9UUtLC44ePSq9zsrKQp8+fYLal68g05ktNZvN0rKBAwdCH2yWcc6c4N5HRBQmDDKJiHq5rq4uaR4+OWYyqTfr7OxUNPrRarUoKysLfGykC9cpTOS/c8eOHUNLS4v0uqioCHl5eUEdpyfEyZOBVasifhwi6n0YZBIR9XKeSmUBZjKp93ItXVWpVD1u9ONK/l5RFKUgs6WlBbW1tdK6zMxM9OvXL+jjwGRyPAIg2GzAwoVAeXnwxyMi8oBBJhFRL+epVBZgJpN6J1EUUVNTo7j5UlpaCp1OF9J+XZv32Gw2mM1mVFdXS8tCzZYCcMx7WVYW+PY2G7ByZfDHCzdnkOztQUQJgfNkEhH1csxkEv2orq4Ozc3N0uuioiLk5OSEvF/XILOrqwvV1dXStCjObKlGE4NLs3iaW9Ng8L3eQ2k/EcUfBplERL2cPMhMSUmRgktmMqm3aWtrw5EjR6TXGRkZoZWuOplMEACkdHVJJbiVu3fDZrNBBcCu06GsrCzkbCkA5byX/gI2p57MrUlEFAAGmUREvZy8XNZgMEhZHGYyqTexWCyoqqqSXqempmLQoEGhla46nQj2xnpZfbS2FtnZ2aEfB1DOe+kMOCsqgFNPdZTGuhDVaohz58bP+CmjEaivdy/5ra4GCgpic05E1GNx851CRETRZ7fb0dXVJb02yDIfzGRSb2G321FVVeU2R2W0SleLMzIis2O93vE4+WSPc2eKKhVq7r0XrYWFkTl+MJznHOhyIopLDDKJiHoxeRZTEATFvHzMZFJvIIoiDh48iI6ODmnZwIEDkZ6eHr6DyEtYPRAiFWTKeZg784cVK9B48cVoaGiI/PGJqFdhkElE1IvJx2NqtVqkpKRIr+12u9SUhChZ1dfXo7GxUXpdUFAQ/jkq4zQD19W/PwDHWFRvXabjhqyUmYjiH4NMIqJeTB5kpqWlKYJMgNlMSm5GoxGHDh2SXhsMBgwYMCAyB5NNVeK23E+mM2Repv/Q2mxQmc0AoAi0Y27tWvdlkycDq1ZF/1yIKCgMMomIejF59kKr1UIQBMWk8RyXScmqq6sLlZWV0uuUlJTwNfrxxFs2MxpjDb3MnTli2jSMP+MMAI4gU4yH6UHKy4HFi92X22zAwoWO9UQU9xhkEhH1Yq6ZTACKbCYzmZSMnI1+nDdRBEHAoEGD3DL5YeUpO+dreZR1dXWhvb091qcBrFjhsQsuAMfylSujez5EFBQGmUREvZinIFPeUZNBJiWjw4cPwyQrHx0wYICis3LYecvOAcDvfhf57JzR6PVR+c030mZx0QDowIHQ1hNRXGCQSUTUS3V3d0tTNgCOcllAmclkuSwlm4aGBtTX10uv8/LykJ+fH9mD+srO2e3Ab38b2eM7S3I9PPJKSqTNWlpaYv87X1oa2noiigsMMomIeil5FlOtVksZTGYyKVmZTCYcPHhQep2eno6SkpLIjcN08pd9e++9mI01zMrKkn7nRVGMfQOgBQsA2bhwBbUamD8/uudDREFhkElE1Eu5Tl/ivNBmJpOSkdVqRWVlpdTcRqPRYPDgwVCponAp5C/7JooxG2soCIJiypaGhobYNgAaOhR44gn35Wo1sHy5Yz0RxT0GmUREvZS8s6xzPCbAxj+UfERRRHV1teLzPGjQIKSmpkbnBBYsAPxlS2M41lBeLtzZ2YmOjo6YnQsAYM4c92XbtgFz50b9VIgoOAwyiYh6KU9NfwBluSwzmZQMjhw5ouic2r9/f2RkZETvBIYOBc491/c2MRxrmJaWpmh8FOsGQB6/dwYNiv6JEFHQGGQSEfVSruWyTsxkUjJpampCXV2d9DonJweFhYXRP5GHH/a+Lg7GGsqzmU1NTYqmYFFlMsHS3OxxOWQdgYkovjHIJCLqhURR9FouK89k2my2+JignSgIZrMZNTU10mudToeBAwdGvtGPJ94ycXEy1jAnJ0can2q329HsKdCLBoMB+lGj3JeXlQGRnGaGiMKKQSYRUS/U1dWlCB69ZTIBZjMpMXV3d6OyshJ2ux2Ao4Py4MGDofbWuTSSfGXh/vvfuBhrqFKpkJubK72OdcksESU2jf9NiIgo2cizmCkpKYoLb5VKBZVKJV2cd3d3R69BClEYOBv9yD/nZWVlipspUeUrA3fuuY7usnEgPz9fCi5NJhM6OzsVVQ5RYTSipqYGTU1NisXDhw9Henp6dM+FiILGTCYRUS/kremPE8dlUiI7evQo2trapNd9+/ZFVlZWDM/IjzgZa5ieng6dTie9jkk2U69Hp1oNu06neLTZbIBeH/3zIaKgMMgkIuqFvDX9cWKHWUpULS0tOHr0qPQ6KysLxcXFMTwjAEaj7/VxMtZQEARFA6DGxsaYjMmWZ6Cd5N2BiSj+McgkIuqFvDX9cWImkxJRZ2cnqqurpddarRZlZWWxafQjl0AZuNzcXOnfq7u7Gy0tLVE9vt1u9/idYzQa2YSMKIFwTCYRUS/kr1yWmUxKNDabTdHoR6VSxa7Rjyf+splxQqPRIDs7W+ou29DQgJycnKgd3zWLKQgCRFGE3W6HyWRSzOdJRPGLQSYRUS9jt9vR1dUlvfZULstMJiUSURRx4MABxc2T0tJSxfjCmEugbGZ+fr4UZLa1taGrqytqzb/kQaZWq0VKSgqMJwL09vZ2BplECYLlskREyc45fcKJh6WpCSqzWXpwTCYlurq6OkVZZ3FxcVSzb8kmIyNDEVQ2NjZG7diuQWZGRob0muMyiRIHM5lERMnO5c6/DsB4+QIP45yYyaSY89dx9URmsK2tDUeOHJEWZ2Zmom/fvpE8s6TnbABUW1sLwFEyW1xcHJWxra5BZmZmptTIyWg0wm63Q6VijoQo3jHIJCIiN/JMJoNMigl/ZZGiCIvFgqqqKmlRampqfDT6SQJ5eXlSkNnV1YX29nZkZmZG/LiuQWZ6ero0b68oijCZTIrsJhHFp6QPMkVRRFVVFb788kt89dVX0qOurk6xTU9UVFRg1apV2Lx5M/bv34/W1lZoNBrk5+dj9OjRmDFjBq655pqwzcl19OhRbNy4Ef/73//wzTffoLq6Gm1tbUhPT0ffvn0xceJE/PznP8f06dN5d4+I3BmNQH09UFamWPzthg3IHT4c/Ty8RZ7J7O7uhiiKvHCnuGK321FZWQmbzQbAkX0bPHiw4gYJBS81NRWZmZnSfKONjY0xCTJVKhUMBoN0Hu3t7QwyiRJA0n8T33777XjiiSfCsi9RFHHffffhkUcecRujZLVacejQIRw6dAjvvfce7r//fixfvhwzZ84M6ZhXXnklXn31VY+BcFtbG9ra2vDDDz9gzZo1mDhxItasWYPhw4eHdEwiSjJ6PdDR4bbYrtMh1cu4NXmQCTg6d/LinaLKy80RVFdDzM9HTU0NzGaztHjgwIFIT0+P8kkmt/z8fCm4a25uxoABAyL6PSCKosemZBkZGYogk4jiX9JfMTjvcDpptVqMHj0au3bt6vG+7rnnHjzyyCPS6wkTJuDSSy9FSUkJLBYLKioq8Nxzz+Ho0aOor6/HZZddho0bN+Lcc88N+vy//fZbKcAcMWIEzjnnHIwdOxZ5eXlob2/Htm3bsHbtWpjNZnzxxRc488wz8emnn2Lw4MFBH5OIeofUw4eRNmmSx3UqlUqaOgBw3EhjkElR5eXmSFdKClo6OtDU1CQtKywsRF5eXjTPrlfIysqCRqORqhmamppQWFgYseNZrVbFTXVn8yF55tJoNMJms8XP1DRE5FHSXzGMHDkSt956K8aPH4/x48dj5MiR0Gg0PS77OnToEB599FHp9dKlS7Fo0SK37f785z/juuuuw7p162Cz2XDXXXfhiy++CPr8U1NTMX/+fNx888049dRT3dbPnz8fd999Ny644AJUVlbi+PHjWLRoETZu3Bj0MYlCEmCzDoqytWvdFo1YsAC27m7g+uvd1gmCAI1GI43HtFqt8TUdBPVaVVVVMMkylgaDAf3794/hGSUvlUqFvLw8aYhRQ0MDCgoKIlY6Ly+V1Wg0UiApH5cJOALNcA1JIqLIEMSeDkhMEvIvyED+CVasWIHrT1yITZgwwWfg2NTUhKKiIqmkNpR5nZqampCbm+t3uy+//FIRhB44cAADBw4M6phyo0aNAgDs2bMn5H1RL+Hv4qN3fuXEVnk5cNJJgEtlBwCIajWEvXuBoUPd1u3duxcdJzJJZWVlAX0XEYVVfT3gkjnbu2oVOsaMAeAo6z7ppJPcyrspfDo7OxXXACNGjIA+QjcLGxoaUFNTAwDQ6/UYMWKEtK6iogKtra0AgKKiIt5YoF4tEa7P2SUmQPJGQcOGDfO5bW5uLvLz86XXzkmEgxHoRd0pp5yiGIu5e/fuoI9JRElmxQqPASYACDYbsHKlx3WcxoRiTXzpJbdlIxYsQN6GDVKjHwaYkZWWlqYIKiM5Z6Zr0x85zpdJlFgYZAaoqKhIer5v3z6f2zY1NaGhoQGAY9C8/L2RJO/61uFhHAtRVBiNQHW1+/Lqasc6ir4DB4JaLx+D6drsjCjiysuB225zWyzY7Rj48MMotVojllEjJfmN86amJqlsNdwCDTI7Ojr4nUQU5xhkBmjGjBnSF96uXbvwzDPPeNzOYrFg0aJF0pff4sWLozZ5sTz4LS0tjfgxiTzS6z2Pu/S2nCLHZHI8+nmapETGy/cFM5kUUytWODLtHgg2G3LfeCO659OL5eTkSFOk2Ww2NDc3R+Q4voJMnU6naPYTSpUYEUVe0jf+CZfi4mI8+eSTuPnmmyGKIm6++WasXLkSl112mdRdtry8XOouKwgC7rzzTtx1111ROb81a9ZI7b2Li4sxceLEqByXiOJYIGPB1Wpg/nyPq5jJpJjyl4GvqPix0RhvYEWUWq1Gbm6uVKXV0NAQkW6+voJMQRCQkZGBlpYWAI6S2ezs7LCfAxGFB4PMHrjppptQUlKCxYsXY9++fdi5cyd27tzptt3VV1+N2267DePHj4/KeR09elQRzN5zzz3SHcdAOQcQu6qsrOR0KBQeVVVAQUGsz4JkRLUawvLlHpv+AMxkUmyJAwfCZx3Q+vWOB8CGYlGQn58vBZlGoxGdnZ1IS0sL2/67u7sV0865BpmAY1iQPMgkovjFctkemjZtGp566imMHTvW6zavvPIK/vKXv0gd0iKpo6MDM2fOlOYLO+usszxOrUIUVR6my8DkycCqVdE/l97M2/jYE+z/+x8wd67X9cxkUiyZrroKYg9vmFLkpKenK4LKcDcAkmcxVSqVx3l55eMyzWYzb34RxTF+e/fA4cOHcfrpp+P8889HTU0NHnvsMZSXl8NisaCtrQ1btmzBnDlz0NXVhfXr12PSpEnYtWtXxM7HarXiqquukrKp/fv3x8svvxzUBMV79uzx+GAWk3qsvBxYvNh9uc0GLFzoWE/R4WccrNpLBtPJNZPZS2e8ohhpLSzEod/9zvdGbCgWNYIgKBoANTY2hvU7wbVU1lM/C61Wq/he4rhMovjFIDNAx48fx6RJk7Bjxw5kZ2fj888/x+23344hQ4YgNTUVGRkZmDJlCl566SX89a9/BeCY9uSKK65AV1dX2M+nu7sbV111Fd566y0AQL9+/bBp0yYUFxeH/VhEPeJjugz4mC6DYsDZGMgLeSZBFMWIdZQk8qStrQ3N06b53ogNxaIqLy9PCv6sVqs0b2U4+BqP6eQcl+nEklmi+MUgM0APP/wwamtrAQC33367YoJgV3fccYc0l+aBAwfwRpg74FmtVvz85z/Ha6+9BgAYMGAANm/ejCFDhoT1OERBCXK6DIqBsjKfzYFcy9VYmkbR0t3dzam44pBGo1E023GO0QyHQIJMQFky62x4SETxh0FmgN58803p+fnnn+9zW5VKhfPOO096vX379rCdR1dXFy6//HK8/vrrAICBAwfik08+YYBJ8cPf9DmcXie6PI2PDZAgCByXSTHR3t4OldkMldnse8OqquicEEnkJbOtra1hu/kUTJBpsVgiUi1GRKFjkBkgZxYTQEAts7OysqTn4Roz0NnZiVmzZkklsoMGDcInn3yCsrKysOyfKCwWLHBMi+GJj+kyKAK8jY+Fo7Msvv7a73g2dpilWGhra8P4M87AmJkzfW/IhmJRl5GRgdTUVOl1uBoABRpkarVaxfFZMksUnxhkBkh+5+zgwYN+t5d3lpXf9QuW2WzGxRdfjPfffx8AMHToUHzyyScYOHBgyPsmCquhQ4EnnnBfrlYDPqbLoAjwMT5WsNmAl1/2O56NmUyKNlEUAy+DZEOxqBMEQTFHZkNDQ8gNgOx2u+Imlq8gEwDHZRIlAAaZAZJPWfLiiy/63LapqQnvvPOO9HrSpEkhHdtkMmH69On48MMPAQAjRozAJ598gv79+4e0X6KImTPHfdm2bT6ny6AICMP4WGYyKdqcJZBfbdmCr7ZsgbW52WtGHgAbisWAPMi0WCwhV2zJs5gAFJlKTxhkEsU/BpkBuuaaa6Tnq1evxrJlyzxu19bWhtmzZ0sd1/r374+f/exnHrctLS2FIAgQBAGrV6/2uI3RaMT06dOxefNmAMCoUaOwefNm9OnTJ/gfJhk5u2R6e1DsDRoU6zPofcIwPpaZTIo2ZxbTrtNBm5uLlOxs4MgR329iQ7Go0mq1yMzMlF6H2gAokOlL5ORBZldXl1uQSkSx5z7TbZJpaWnB448/7nObe++9123ZQw89pHg9d+5crFmzBp988glEUcSNN96INWvW4JJLLkFJSQksFgu++eYbrFmzBnV1dQAAtVqNZ555BjqdLujzv/DCC7F161YAjomQf/vb3+Kzzz7z+74RI0b47ICbdHx0yAQAcH6/6DGZIBqNcL1EsLW3Q52ezukGomnBAuDxxz2XzAY4PpaZTIo2eamsFMiwoVjcycvLk/5fNTc3o6SkJKh5uoHAx2M6paamQqvVSu9rb28P6H1EFD2CmOSzax84cCCoxjie/lna29uxcOFCrFu3zu/78/PzsXz5csyaNcvrNqWlpdLYzVWrVmGuh1JCf3fzvLnvvvvw5z//Oaj3yo0aNQoAsGfPnpD3FVH+/p2S+2MeX/j/Ir7861/ArbcqFolqNYTlywMqX25sbMSBE1kivV7fu25eUdSJooivv/5ampN16NChjkCzvBw46STvN0z27uV47yiz2+3YvXs3bCf+n5SUlKCgoCCofR08eBD19fUAgIKCApSUlPToPbm5uWyCSL1KIlyfs1y2BzIyMvDyyy9jx44duOWWWzBhwgTk5uZCo9FAp9Ohf//+mDFjBpYsWYKKigqfASaFmdEIVFe7L6+u9ts9kyipeRofu3VrwONjWS5L0WQ0GqUAUxAEGJxVKmwoFndUKpVbA6Bg9TSTCbiPy0zynAlRwkn6ctnS0tKwf/FMnDgREydODHk/BwIYQ8IvzQDp9YCnibv1epZnRpvRCLPZjB9++EGxOCcnB6UsaYsLwuDBAW/LclmKJnmprMFggEoluxc+Z45bVh7btgEhNtej4OXn5+P48eMAgI6ODnR0dCA9Pb3H+wk1yLRarbBYLEhLS+vxsYkoMpjJJKLw0uthS0uDXadTPIyiyIA/2rw1vupBQyx5JtNut0tZJqJIkHcKlTeW8YoNxWJKp9NBL/teDyabKYoiurq6pNeBBpnOKjIndpklii8MMim5VVXF+gx6JU9llRaLRRq7Q1FiMACeximVlflvlnWCPMgEmM2kyOnu7oZJdvNDEWSG4YYJRYa8ZLapqanHN6KsVquiasvf9CVy8mxmwHOrElFUMMik5LF2rfuyyZOBVauify69nLdgssNTSTPFNZVKpegYyXGZFCnyTJRrliocN0woMnJzc6WyZpvNhpaWlh69X14qq9FoetShluMyieJX0o/JpF6ivNzzZN02G7BwITBlChtDRJG3INNkMikuCijCjEYcO3YMR48eBeAobQumO2xKSor0/5SZTIoU16lLgu2uTtGlVquRk5ODxsZGAI6S2dzcXMdKf1lmvT6o8ZhO8r8nNpsNZrM5qDGhRBR+DDIpOaxY4bm1PeBYvnIl8Mgj0T2nXsxbtouZzCjT69Hc1QX7iYxQVt++QY2LZYdZijRRFD3Pj+nELuFxLT8/Xwoy29vbYbFYHAFjAHNYhxJkqtVqpKenS39b2tvbGWQSxQmWy1Jy8NepN4BOvhQ+8kymvDspg8zo6urqUvybZ2dnB7UfdpilSLNYLIrmL25BprNTuLcHxZRer1d0du1JA6BQgkzAvWSWiOIDg0xKDv6mxuDUGVElz3bJLwAsFgszYVEkHxul1WqDbu/PTCZFmjyLqdPpFDc2KP4JgqBoANTY2OgYHxnAHNahBpnyGxIcl0kUPxhkUnJYsMAxKbcnajUwf350z6eXk2cy09PTFY0cmM2MHnmQmZ2dHfQYN2YyKdJ8lspSQpAHmVar1fH/1FumWbY81CBTr9dL3212u51/Y4jiBINMSg5DhwJPPOG2WFSrgeXL2fQnyuRBplqtVsyjxguA6Oju7laUjgVbKgsoM5kWi4WZAgorURR7Pj8mxZ2UlBTF90wgJbPd3d2KvxfBBJmuf2NYMksUHxhkUvKYM8dtUcfGjcDcudE/l15OXlKp0WgUjRhMnNMuKlpbW6XnKSkpiouwnpJPJdHR0dHjKQqIfDGZTNLcioIgwMApSRJWfn6+9LylpcV75cOJOazlWUyVSuU2L2+gOC6TKP4wyKSkZunXL9an0Cu5ZjLlQSYzmdHR3NwsPc/KygppOgi9Xq+4iDt8+LDXaWqIekpeKmswGKQ5FynxZGZmKsrrGxsbfc5h7VoqG+z3lPz7yWg0SjctiCh2+E1OycFk8jgfl7Wlxf88XRR2vsplu7q62Dwmwux2u+LCPehS2RO/V0JHB0ry8qDu7ITKbEZ3ayvqTmQiiELF8ZjJw7UBUPuXX0L0MYd199690qJgSmWdOC6TKP5wnkxKDl7Kq4p+8hPHk0QfQxbAhNbxwm63K+4iazQapKSkQKPRSMGlyWRCVlZWrE4x6bW2tkrjJlUqleIuf4/Ifq/SAIxzWd1pNv/YsTaBPqMUP7q7uxUl9AwyE19+fj6OHTsGAMj4z38g+JjDOvXFFx2N+xBakKlSqWAwGKRS2ba2NpZdE8UYg0yiRBDAhNbxwrWMUq1WQxAEpKenSxmLjo6O+A4yEzxgko+ZzMrKilj54aFDhzBkyBBHBiGBPqMUP+Tj5zQajWL8LyUmrVaLjIwMtLe3I7W21ue2qpoaxftC4TwmwHGZRPGAQSYlhxPzbVVVVSkanqjVaowdOzZWZ9UruQaZzgBHr9crgsy4lsABkyiKit+BnJyc4HdmNAL19UBZmWLxtxs2oDsnB/a2NrS0tIR2DOrVXEtlQxk7TPEjPz8f7e3t6Orb1+d2ncXF0vNwBJlOzmZSHN9LFDv87aPkcGLOLVtaGuw6nfSwpqaiO8Q/XHEhgAmt44VrZ1nnRSM7zEZHe3u7FOgLghBa+aGXOe70hYWwn8g4HTp0yHG8BPqMUnwQRZHjMZNUdnY21Go1GmbNgugl0BPVahy/6CLpdahBpl6vl4JKURRh5PcOUUwxyKTE52z6YzJBNBqhMpsVD3n3uoQVwITW8cK16Y+TPMi0Wq3eW9vHgwQOmOSlspmZmYr/B+HSt29f6eaB1Wp1jL9KoM8oxQeLxYKuri7pNYPM5KFSqZCbmwtLSQkO/e537huo1bAuXQpLSYm0KDU1NaRjuk5/w5JZothiuSwlPtkflWEeVjc1NoY0RyD1jLcgMzU1FSkpKVJwGdfjMvV6wFNJb5wHTKIoKoLMoLvK+pFWW4ui/v2l5h51dXXIy8tDmqeNq6qAgoKInAclNnkWU6fTKaa+oMSXn5+P+vp6NE+bhpK//125cts2dAwfDlRWAght+hK5zMxM6XPFIJMotpjJpKSXFJlMb+JwGgnXclk5lsxGVkdHhyJDHJYg3sscd33ef1/KPIiiiIMHD0J86SWP22LVqtDPg5KOPMgMugMyxa309HToAajMZveVRUWwNDVJL0MtlXVyHZfJ+XyJYodBJiU+L6WN327YgK+2bEFnZ2cMTioCfExoHU+8ZTIBZZAZ981/PInDoF5OnsU0GAyhZ4bKywEvc9ypbrwRJbIbOF179gC33eZxWyxc6NgX0QmiKCoyTSyVTU4jJkzAmJkz3VeUlaFo8GDpZbiCTJ1Op/i7w3GZRLHDIJMSn5cSRmfzn6TIZPq42I+3C3hfQaa8bDnug8wECerlwl4qu2KF4zPmic2GzPXrpeAg/803fc6Hh5UrQz8fShrO7p+AYywdM5m9W7iCTNfPEktmiWKHQSYlvaQIMv1c7MfTBXyg5bJWq1XR9COuJFBQ79TZ2anI2oclyDxwwOdqoaYGAwYMgCAIfufD87cv6l3kpbIGg4FTTSQroxEHvvsOX23Zgq+2bEHF1187qo+MRuzZvl3aLFxBJqAsmZV/zogouvitTkkr9fBhAI6gJ+HHZfi7QI+jC3hfmcyUlBRFCWfcZjMTKKh3kmcxdTpdeC7aSkv9rk9LS0NxcbHf+fD87ot6FU5d0kvo9cgrKZEqi1q7u2HRaCCmp8MiuwkZqSDTbDYrbnwSUfQwyKTk4KG0ccSCBcjbsAFAEmQzA7jYjxe+gkwgQUpmEyiod4pIV9kFCwBvU6Co1cD8+QCA4uJitF5xhdf58OTbEnV3dysafzHITG4Gg0ERRDY1NcFqtUIURWlZqNOXyKWlpSmqaFgySxQbDDIp8XkpbRTsdgx8+GFoDx5M/CAzwIv9eOCrXBZIkA6zCRTUA47SY/m/ZdiCzKFDgSeecF+uVgPLlzvWwzEnXtGUKV7nw5NvSyS/6NdoNNDpdDE8G4o0QRCQl5cnvTYajYq/yRqNJqzz+XJcJlF8YJBJic9HaaNgsyFvw4bEDzIDvNiPB/4yma4dZuV3s+NGAgX1gDKLmZqaGt6L9jlz3Jdt2wbMnatYlJWVhe4rrwxoW+rdXEtlwzE/IsW3dFGEymyGymxGZ2MjLE1N0uu0CAxnYZBJFHvuaQaiROOndFFbW4u2ZJjGZM4c4NZblcu2bQMmTYrN+XghDzL9ZTK7u7thtVrDWioVFs6g3uXfW1SrIcRZUA+4l8pG/KJ90CC3RYIgoF+/fgFtS72XKIocj9kLZfXrh/Euy/LlL8J8s1EeZHZ2dsJqtYY+pRMR9QgzmZT4/JQuWvr2TfxMpjdxdgEviqLfTGZKSooiqIzbcZkeMnh1r74aX1k5kwkwmdDZ2ChlBbI0Gml5uPYf0HKTCVpPDTbCdS6UFCwWi6KrNKcuoUjQarWKoJLZTKLoYyaTEt+CBcDjj3ssmRXVajTOnAl7ogeZXi7UW48ehUGrhTpOsgGuXXy9jbNJT0+XLjRNJlP4xhBGmLGwMNanoGQwAADGeFsfanbgxP7dlJW5778n21KvJc9ipqWlxV8VA0WG0YiKzz/HkPPOUyz+dsMG9D35ZOR5eVuwBEFAZmYmGhsbATiCzNzc3DAfhYh8YSaTEt/QobA//rjbYlGtRs2998JSUgKr1SpN/J2QDIYfL9Zlsk4+GeqsLPzwww84cuQI2tvbY/pzBhpkxn2HWS9BfWdTE0SjMQYnRJQcWCrbS+n1SPVwM9Gu00EboeCP4zKJYouZTEoKrdOnI8e1s+XWrWhKTZUyKBaLJWm7GJpMJphMJhw7dgyCIMBgMCAzMxMZGRlIT0+PWmMNeWdZtVrt9biuHWZFUYyv5h9esnKjL7rI8SResnJGI0w1NdCPGqVcXl0NFBSEZf893ba9vR0VFRUAHJ+BMWPGxNf/W4oZURQVF/sMMnuXtLQ0j8vDOUemnDzIdJZpM3NOFD0MMilxyTJNLbW1yHFZLQwejNS6Omk8ZkIHmUYj6urqUFtbC+DHUiCj0eiWPXReyDkv5tRqNTIyMpCRkYHMzExotdrwX/Sf+H9ha2uDymwGAGhSUn78fyTLXALKINNms6GrqytiFxpJTa9Ht6eLJr3e7d882P33dFudVgv7kSMAADsAa2oqL+wIgOOGkrPSwnWaCUp+noLMtNpajw3iwiE1NRVarVa6Bmhvb1dMpUJEkcUgkxKXLNvkXkgKwGRCms0G52jMRG7+Y9fpUGc0wn4iSC4sLMSAAQMgiiLMZjPa2tqkwNJ1ShCbzYaWlhapA2lKSooUcGZkZIQnADjx/yITcOsgCMAt86fRaJCamiqNy+zo6PAcZPprGBOOQMoToxEdHR3Yt2+f26qCggL0j8xRg2K1Wt0XVlWFJ5MZBI1Gg5SUFOm8zGYzg0wCoCyVNRgMUKk4Yqc3SX/zTbdlw+bNg2CzAfPmReSYGRkZ0t/+trY2BplEUcQgk5JXWRmGANi1cycARxvzRNXY2ChdtAuCgKKiIul5eno60tPTUVxcDLvdDpPJhPb2drS1tcHkIUizWq1oampCU1MTAEepkjPgzMjIiNhdZVd6vV4RZObkuOai4b2ZjFOkylb1eli6uqSgXs4YL6WyJ6SsX+++cPJk4NlnI3bh5o9Op5M+rx0dHcjKyorJeVB84XjMXqy8HOo773RbLNjtwMKFwJQpEZkaKiMjAw0NDQAg3YRl+T5RdDDIpPgUSAbLaATq6z02xPEkUTOZoiji2LFj0uv8/HyvmSGVSiUFi3379oXNZoPRaJQyneYTpaxyFosF9fX1qK+vB+AoZXVmOgPONnj7f+FjbGB6ejqam5sBwGMwHGvyz4tGo5HGm5rN5vi5UCkvR+b997svt9kieuHmT3p6uhRQePrMUe/T3d2t+D1nkNnLrFjhyFh6YrMBK1cCjzwS9sPKS7KtVissFovXsaFEFF4MMik+BZLB0uthPH4cblvKApvW1lbg6FEAiRtkNjY2KuaVc2YxA6FWq5GVlSVlkqxWq1RW29bWptivU0dHBzo6OlBXVwdBEKDX66VMp16v9xxc6fWApy6xPsYGunaY9Ri4BRG8hov885KdnS3dDbfb7ejs7IyP8b0xunDzR/5vwyCTAGV3T41GEx+/PxQ9Bw6Etj5IKSkpSEtLkyqZ2tvbGWQSRQmDTEpoxz0FmbLARqtWS0FmV1cX7HZ7Qo0Dcs1i5uXlhdQgJyUlBbm5udJ8YRaLRQo429vbFd1hncc3Go0wnugcKs+UZmZmIi0tLeiMXkDNf4IIXsNFHmTqdDrFhUpHR0d8XCTH6MLNH/m/TWdnZ8L93lH4uZbKxkUlAEVPaWlo60OQkZGhCDILYjRenai3YZBJ8SmADJZz7KEbWdMT17LSrq6uhLqL2dTUpAh2iouLw7p/rVYLrVaL/Px8qYmQM9Ppac5Nu92O1tZWR4YYjoyE1ETIYoFb+OujAY1arVZ0/jOZTHHVYVb+767VaqHX66ULFZPJFB8NJGJ44eaL8+aDswlVZ2en4qYC9S6iKHI8Zm+3YAHw+OOOCgtXajUwf37EDp2RkSENB+G4TKLo4a1lik/eMlWy5ceOHUPO+++7bzN5MrBqFQBH5k0eaCZSyaxrFjM3NzeiAbKziVBRURGGDBmCcePGYfjw4ejbty8MBoPHP8rd3d1obm5GTU0N6p580n2nsv8XnsgDjw5PGUtvqqoC3zYIoigqSolTU1ODP9cIEufPh+gtQxjhCzdfBEFQZDPj5d+LYsM5R6ETpy7phYYOBZ54wm2xqFYDy5dHdOy4/PPW3d2d0E0AiRIJg0xKLCeCC7PZDPPu3Rjwj3+4b+NselJeDkA50XMiBZktLS2KP4Z9+vSJ6vEFQYDBYECfPn0wfPhwjBs3DkOHDkVRUZFbVkp78GBA/y9cuY7L9GjtWvdlfoLXULmOVdVqtYqf2dn8J9Zsgwbh0O9+574iChdu/nBcJjnJs5hpaWmc0qa3mjPHbZGwbRswd25ED6vRaBTf3x4roIgo7BhkUvzyEVwcO3YM+W++6Wh/7omz6QmUQWai3MEURRFHT4wlBYCcnJyYl/mqVCpkZmaif//+OOmkk3DyySdj0KBBKCgoQNHbbwf0/8KV/A+/yWRyD9zKy4HFiz3v00fwGir5zYiUlBSoVCrFuTqb/8Sa1WpF87Rp7iuicOHmD4NMcmKpLHk1aFBUDiPPZjLIJIoOBpkUn3wEF+LChTB9/TVSa2t97+NE0xN5cJYomczW1lbFhXm4x2KGg0ajQU5ODkpKSlDgbwoSLw1oXAM3t/8/K1Z4HsMD+AxeQ+U6HhNwBNnxVgLqnIvSTZQu3HxxLS+Oh8wvRZ8oioqLegaZvZTJ5HlqMm/Lw8w1yOT3EVHkMcik+OQjuBBsNuRt2ICuvn197+NE05NEK5d1zWJmZWXFf9OUIBvQqNVqxU0At8AtRt1T5eWy8s+Pa+Y11qwtLVB5yhJG6cLNF3lAbrPZvAfElNRMJpPUQEwQBI7H7K0MBs9zWpeV+Z+yLCyH//EYNpuN1RVEUcAgk+KTn+BBW1uLhlmzHE0DPJE1PXENMuP9DmZbW5si2Ir2WMygLFjg+Df3xE8DGp+BW4y6p8pvRsjHj8Vb85+8gQMxZuZM9xVRunDzRaPRICUlRXrNi7reSV4qazAYOJUNxYRarVb0AJB/LokoMvhtT/HJT/Bg6dsX9sGDIT7+uPtKl6YnrtNiuDZ1iSeuWczMzEzFH8a45aVzYCANaHwGbiEEr6HwVC4LuDcqivcbFrHGcZnE8ZgEwDEtma9HFHBcJlF0Mcik+OQjuBDVajTOnIni4mKorr7afQOXpicqlUqRUYnnklmj0ajI5iVEFtPJQ+fAQBrQ+AzcQgheQ+EtyJQHTaIoxrz5T/W33+KrLVvw1ZYtOFpeHpMLN1/iLfNL0dXd3a34PmOQ2Ys5px/z9ogCeZBpNBp5k5AowhhkUnzyNqeWSoWae++FbdAg5Ofne36vh6YniTIuU57FzMjIUIwjSUgBNKCRB24eu7YGGbwGq7u7GzbZeGD5Z8e1+U+sx2VaU1Nh1+lg1+mgycqKyYWbL8xk9m7ybJFGo1F8HoiiTT7fs91uj/n3N1GyY5BJ8ctDcPHDihVovPhiFBUVORqeBNitLiLTmDiP4+3RQ0ajUXFRllBZzBA6B/ps/uPt/UVFEWtsIy+nFgQBGo1GsT6esnPyZjrybH28kAcVnZ2dUgMY6h1cS2WdF/hEsaBSqRSVMyyZJYosjf9NiOJHV//+UKvVKCgoADRePr7ODnayUpiITGPiL8vYw1IceRZTr9cnVhbT27l6+H/hiV6vl4L/jo4O5OXlhWW/wXAtlXW9MNbr9WhsbJTONZbiPchMS0uDIAhSWVpnZ2f8d0om3/zd3DlxES+KIsdjUtzJyMiA8cRQgvb29sS6mUuUYJjJpPjkJYOlMptRZDBA7a0ZjBfxXi5rMpkUF2R9+vTpVXf942lqEG/jMZ3iZf5Hu92uKOuNxyBTEIS4m1uUQmQw+H6cYLFYFFUBnLqE4oH8ZofRaGR1BVEERTST+fzzzwf1PpVKhYyMDOTl5WHs2LG8A9obeclgSdM1iGKPGpt4msYk5CDOaATq693n/qquBgoKerQreRYzPT098T7zITaZkQduZrP5x/8/MWhe4y/IdG3+YzabY5Kdc5130rWsN17odDopuOS4zF7gxE2i9vp6aVFaWppiKiCiWElPT4dKpYLdbocoijCZTLwBQhQhEb0qmTt3bsgX8oIg4JRTTsGvf/1r/PKXvwzTmVFS6EFjE3mwIIoirFZr6Bc9ej3gKTPTw6YrHR0daG1tlV4nZBYzxCYz8iDN2fxHp9PFpHmNPPviKch0Nv9xBkwdHR0xDzI1Gk3czj/I5j9JxtvNNacTNwgLABzcuRMAS2UpfqhUKhgMBqlyqL29nUEmUYRE/KpEFMWQHna7Hbt27cK8efMwbdo0llv1FiemYKivrpamaPh661ZYm5uDym6p1WpFpieeSmaPHTsmPdfpdMjKyorh2cRGPHVtlX82vN2IiIfmP/E+HtPJtVyW0wYkuCA6FzPIpHjC+TKJoiOimcxVq1YBAN5//32sW7cOAHDSSSdh6tSpGDJkCPR6PUwmEyoqKvDRRx9h7969EAQBs2fPxtSpU9HQ0IDt27fj7bffRnd3N/773//il7/8JdavXx/J06Z4cOIiJk+ng5iejmPHjiE7Oxsp2dlB71Kr1aK7uxuAI5CI2N3LqqqAy2XNZjOam5ul1wmZxQyT9PR0RXYwFkRR9FsuC5MJegDNznOtrwecjYqAqGVfXTOZ8UoeZNpsNnR3d8d1UEyhM373HcpPfK8JgsBMEcUV1/kybTZbj/s8EJF/Eb0yue666/B///d/eOWVV1BYWIgVK1ZgxowZXrd/++23sXDhQvznP//BOeecg7vuugsAUFFRgUsuuQTff/89Xn/9dWzbtg2TJ0+O5KlTnFCpVCgsLER+fn7IGRCtVitlyMI2jcnate7LJk8Gnn0WmDfP79vlWcy0tDRkhxBEJ7p46NoqL5UFvASZBgMK4CgH9ChKmbpEyWSmpKRArVZLTYo6Ozvj+nwpdEa7HfYTNxcMBkPclnJT75Senq74TjIajb2ygogo0iL6zf/dd9/h1ltvRWpqKj7++GOfASYAXHTRRfjvf/+LlJQU3HLLLdizZw8AYMiQIXjzzTel0rVgGwpR4lKpVCHfaQz7NCbl5cDixe7LbTZg4ULHeh86OzvR1NQkvS4uLu61WUwgPrq2yj8XKSkpcX1xHPdBpmzOWJ3dDpXZDJXZDEtTU8TmOKUo8XRzTabz+++l5yyVpXgjCIJiijCWzBJFRkSvoJYuXYquri5ce+21GDlyZEDvGT16NK655hpYLBYsXbpUWj548GBceumlEEURn376aaROmZJY2KcxWbHCEVB6YrMBK1f6fLs8i6nVapGbmxv6OSUwnU4nBdnOrq3RJs9kem0MZTQ6Ogi7qq6OajfcuA8yZdNaDD/1VIw/4wyMP+MM5JeW+p9jluKXt5trMgN/8QvkbdgAgEEmxSeOyySKvIgGmR9++CEEQehxaesZZ5whvV/OuZ/a2trwnCD1Kp6mMQnJgQNBr7dYLFJpKMAsJuDe/CcWJbN+x2MC3hufBNEQJRRxH2RScvJ1c+0EwW7HwIcfRvqRI4rfaaJ4IQ8yOzo6pH4NRBQ+EQ0yncGg14s1L5zbHzlyRLG8qKgIgKN+nqin5J9Du90e+h+V0tKg19fV1UnPU1NTkSdvHNOLyUtmY9FhNqAgM07IP79xGWR6yfju++CDmMx/SmHi7+baCYLNhj7vvdfrb55RfNLpdIqGabyuJAq/iAaZznKzvXv39uh9358Yz+Farma32wGw/IaCo9FoFOM6Qy6ZXbAA8DZOVK0G5s/3uKqrqwsNDQ3Sa2YxfxTrqUFCCTLtFRXhPh2vnHO9OsVlkOkls2tRqyHGYF5RChN/N9dkdLKbaUTxhOMyiSIvokHm0KFDIYoiVq1aFfAFo8lkwqpVqyAIAoYMGaJY58xsMutDwQrruMyhQ9H5l7+4L1ergeXLgaFDPb6trq5OKtVNSUnh51lGLwtKzGazdGMpWgIOMj00PhHOOAM4MW1TpLlm4eMyyPTCdZqYsJE1GvL4oPDwdXPNhcblbzhRPJEnLBhkEoVfRIPMSy65BABw+PBhXHrppYr5AD1pbm7GpZdeisOHDwMALr/8csX6Xbt2AQBKSkrCf7LUK8gDh1CnMbHZbKiaNMl9xbZtwNy5Ht9jtVpRX18vvS4qKorrDqbRlpaWpmj+E7apZgJgs9mklvaAjyDTS+MTIcCuwuEgz2KGo/NyNKUePhyZIFPWaMjjg8Jj6FDgiSf8biaq1VAvXBiFEyIKjnxcptlsVnyvElHoInp1e8stt6Bfv34AHE18hg0bhjvuuAMffPABKioqcPToUVRUVOCDDz7AHXfcgWHDhuGjjz4CAPTv3x+/+c1vpH1ZrVZ88MEHEAQBP/3pTyN52pTEwjmNSW1trec/SoMGeX2PPIup0WhQUOB1tsVeybX5TzTHZco/D4IgKMbrKITYVTgc4r5U1slDxnfEggVRy/hShMyZ43O1qFKh6dFHvVZzEMUDrVar+P7kuEyi8PJyFRUeer0eb7/9NqZOnYqmpiY0NTXhiSeewBM+7oKKoojc3Fy89dZbivFZO3bswIgRIyAIAq644opInjYlsXCVy7a3t6OhpgYaT9NsmExAerrbeLTu7m5mMQOg1+ul8vpojst0LZX1Ok42hK7C4ZIQQaa3jK/djszbbwdmzAhvEGI0AvX1QFmZcnl1NcCbOVH1w4oV6HvppbE+DSKfBEFARkaGNF91W1sbcnJyYnxWRMkj4le4J598Mr788ktccMEFEEXR72PatGn48ssvMXbsWMV+Jk+ejK1bt2LLli0YPXp0pE+bkpRWq5Umhbe2tEA0Gns8dstms6GmpgbjzzgDY2bOdN+grMxjed7x48elMYZqtZpZTC88dZjt6upCXV1dRMtnAx6PGUJX4XBJiCDTR8ZXiETGN06mlkl6AXxPWgcMUJQiEsUrzpdJFDkRzWQ6lZSU4L333sN3332H1157Ddu3b0dtbS2MRiMMBgP69u2LSZMm4bLLLmMASRGl1Wox/sQ8rF75mT+ztra2x1lQm82G48ePS6+LiooSahxdNMmDzM7OTtjtdpSXl6OzsxN1dXUYPXp0RDLAXV1d0nOfQeaCBcDjj3sMoES1GoKXrsLhJA8yvZb1xlocZHwpAgIY32pQqaAymxncU9yTB5kWiwVdXV1uMxsQUXCienUyevRoBpEUU6FekLe3t0vB4ldbtqCoqAhmsxltbW0AgL59+0rzucodP35caiqjVqtRWFgY0nkkM51OB0EQpOoGo9EoZTCtViuMRmNEpjGS3zjweZHhbHxy662KxaJKhba//x1ZURiHlhCZTD8ZXXtJSdhLaSwWC9xuD1RVsVw2ygade67jiZ8bdkSxptVqkZqaKt1kbG9vZ8d3ojDhgDDqVQRBwN4vvsC3Gza4r6yu9jlJvN1uR01NjfQ6NScHxYMHA3o97Dod7DqdY/4/l/I8m82GOtl8cQUFBcxi+iAIgiKb6Qzgvb0Olx7Nkemh8ckPK1ag8eKLw31aHiVEkOljqgtRrUbnL34R9kO2L1vmvnDyZDYaCiejETAacaiH818TxatkKZlta2vD/v37FdcbRLEUp3VWRJGjzc1FV0uL+wo/Y7eOHDmiCERKS0uhUqkUDWJED3fu6+vrpSymSqXymOkkpfT0dGk8pusf/UgEmaIoBl4u62VMWndeHmz19T67C4dLQgSZPjK+Nffei8wBA5Du5a3B6PjmG+Q9/LD7CufUMlOmsNtpOOj1EEURTRYLGrZscVut0WgwevRo742ziOJMRkYGGhsbASRukNnd3Y3KykrY7Xa0t7cjLS0NWVlZsT4t6uWYyaRex2+WygN5mSwAFBcXQw8AJpPUSEhlNrs1ELLb7W5ZzLgdQxdH9LJg37XDbCTmM7NarYobBD4/IwaDewdTAGNmzsTon/wk4nOtiaKYGEEm4DPjG84mTqIowvz00xBONNZyE6WpZXoLo9GI7u5uqYJD/tAXFkIwGDgekxKGPJPZ1dUVmXl8I0zeWBAADh065PGmN1E0RfVq99ixY/j8889x+PBhtLa2KiY+9+ZPf/pTFM6MehOvAYSXsVuuZbJpaWno06ePVApYeuLhRhTR0NCA7u5uAI4yUGYxAyMvl/Wkvb0dubm5YTue/KJCo9GE1Fioo6MjoneQ7Xa74uIhboNMHxlfldkc1iCztbUVAhsNRY1zygfAcUOoq6tLuvGRnZ0do7MiCk5qaiq0Wq30d6C9vT2om9GxYmtrQ0NNDVSya2qr2Yz6Awcc/R94w4diJCpB5nfffYc77rgDGzdu7PF7GWRSuGm1WuS8/777ismTgWefBebNUyz2Vibrj91ux7Fjx6TXBQUF8RsQxJm0tDSoVCrFnVm5tra2iAWZfi8uPIzbrayslMp4i0ymiAaZrpnSuM2Me+lC6pz25/s9e8JyGFEUceTIEeT17et7wyhMLdMbiKKIFtlwg4KCAqSnp+PIkSOO71bOM0gJKDMzU5rHur29Hfn5+TE+o8Cps7Iw1tcGzGhSjET86uSjjz7CrFmzYDab/abunR0l5a+Jwk178CAG/OMf7is8jN0yGo1uU49IpZx+Jn9vbGyUAgJmMXtGEATodDppXKartrY2iKIYtu+IHgWZHu4K6/Lz0XLi/7VreW+4uZbKJur3pMViCcv/w4aGBnR2dqJh1iwUrVnjsWQ2WlPL9Abt7e2K6oysrCxoNBoMGTIkxmdGFLyMjAxFkBnOvy+RZLfbOe4tXHzN/2sy+c4IM1vsUUSDzLa2Nlx11VXo6OhAWloaFi9ejDPOOAMXXnghBEHAgw8+iHHjxqG6uhrvvPMOPvjgAwiCgHnz5uHaa6+N5KlRL5by/PP+x2498gjsdjsOyErs0tLS0FeeLdHrAU8BhV4PMT0dx6qqpEX5+fmce6uH9Hq91yDTarXCYrEgLS0tLMfqUZDpgXwMqclkiugFSsKMx/SQ8bXZbNi9ezcAx8WR1WoN6ffCZrOhtrYWAGApKUHTvfci74EHFNuIKhUsS5YgjU1/wqK5uVl6npmZGb+ZdKIekI/LDPffl0hqaGjAkS1boGlulqpEnL7dsAHdOTkYYTZDp9PF6AwTSABzAHvFbLFHEb0B8uyzz6KxsRGCIOC1117DQw89hAsuuEBaP3r0aEyfPh2/+tWv8O6772Lz5s0oKCjAqlWr8PXXX+Oss86K5OlRLyXIxld6dCKwDLZMFgAaGxsV3UqZxew5f+Myw9llNpxBZnd3t+L/fbglTJDp7NYse6gzM6HKyID9xAVPqOMy6+rqFFm1jBtucNvmhxUr0ORy8UXBEUVREWSyNJaShUajUQRikZoqK5xEUURdXZ3UdMuVc/nhw4djcHZEEQ4y3z8x7u3cc8/FtGnT/G5/xhln4K233oIgCLjrrruwJ0xjdogU/I3NKi31XSbrh1hZqRiLmZeXl1BNBOKFv3/vcF4EBDx9iRcajUaRkYtkyWzCBJleyLMDoXRxtFqtis7NRUVFHrOiXf37o7W1Nejj0I/a2tqkhn2CILDJDyWVRJsv0/VmtjdtbW38DgyE0egY7uSquhqoq/O+zsf86r1dRIPM7777DoIgKLKXcp66y06cOBGXXXYZurq68Oyzz0by9Ki3WrAAopdJ4qFWwz53ru8yWbm1a92XTZkCwyuvSC+Li4tDONneS6vVumWOXS8CwtGi3WazSdkwAEGXb7qWzIaNfFockwndra3SlDmpEZ4uJRLkQWYomcza2lqpMZRGo0FxRobHMTUqsxmdsvHRScfl8+H2CCN5FjMrKwtqb9+jRAkoEn9fIkUURcXNbE9VBTmy39dDhw5BNBqj9l2RkLzNla7XA9669PqZX723i+hgCucfpJKSEuVBNRrYbDaYzWaP7zvvvPOwfv16fPjhh5E8Peqthg6F8f77kXHvvcrlajWwfDmOpKfDIstiDhw40HOZbHk5sHix22LBZsPAhx+Gcdw46MeNS4hxHfFI6OiAHoBJ9j2RlZODjs5OiKII+4nGQIZQxlFAmU0TBCHo7KBer5e+88IaZLr8fKVwmTInji+EPAlHkGk2m9HQ0CC97tOnD9ReOvo6xyk11NcnVMfIgPn7/Ifp82G32xVdZVkqS8lGHmQ6r1H9DduIlZaWFsXfrj6bN7ttM2DOHNjvuQeNM2fCYrFAkP18HiXY35KA+ft77C9I9DK9nd91FNkgU61Ww2q1ut3tzMjIQEtLi6LUSc5ZgnPkyJFInh71ZnPmAK5B5rZtMI4aheP79kmLioqKvAcxK1Y4GgV5INhsyNuwAdkBlImTFwYDhnlY7BzdumvnTrS1tYU1yNRqtUE37JFfjHR0dCRMd8Jok5cjBxtkyv82aLXagILHtra25Awyo6S9vV1RKhvJaXqIYkGtViM9PV0a7tDe3h6XQaYoijh69Kj0uqClBSl33eW2nfyGt8Ul2dOr9ORGnKfqNOf0dp5KqL1MfUcOES2XLTgR3cvvfgJA//79ATjKaT05dOgQgNCbQhB546kk0l5aqiiT1Wq13stkAb+Tu2c0NLCjW4SFY1xmqOMxneQXI3a7PXzfX17GiXy7YQOMsnKpRCHPZHZ1dXmdC9Wb9vZ2xfiifv36OSoNjEa3R8vhw/hqyxZ8tWWLNO1NUpCXuNXVAZ76F4R5rFBTU5P0nKWylKwSYVxmW1ubohKwz7vv+rzhnf/WWwCAr7ZswZFt29w34rhCBy/VabDZgOuvB373O8/rFi50vJfcRDTIHDFiBACgoqJCsXz8+PEQRRHvvfeex3Ey69atAwDfF/hEwTKZPI5lq6uuhlV2Q8RvN1k/DYS0w4cHeYIEADAa0fnDD26LTXv24KstWxzPTSaPY7t7Qp7JDGU6DbVarbipELaSWS9jPuw6HVISsPGKayDfk+Y/oigqOiXq9fofm8946GabUVwMMT0ddp0ONpsNRtcLqSiOZwwrg+HHR1ERMGqU+zZhHCvkWiqbm5sblv0SxZvMzEzpeTyOy3TNYmZlZSHFT9Vf1olhHHadDg1epl1L6nGFXm7UNuzcCVF+I8FHdRrsdsfDE+fUd+QmokHm6aefDlEU8fnnnyuWX3rppQAc7efnzZsn/fFqb2/HokWLsHPnTgiCgHPOOSeSp0e9lcEAYdAgt8V9Tj8d4884A4CfMlmnBQsc4zg9ENVqpNx4Y8in2qvp9dB6GPeVnp8PQfb/JtS7zaFOXyLnWjIbaYnYXVYQhKBLZpubmxX/rv379/dZkqxWqxWZCbcOi/JgzdMjUYPQcJD9nG1HjwImE1RmMzQWC7I4NyYlKb1eL32n2O32qHyP94TRaFTcwCwuLvZ7wztt+HDff9tkc3onJS9B9JHmZnxfU/Pj3wU/1Wk+hfLeJBbRINPZVfazzz5TdKWbOXMmxo4dCwBYu3YtioqK0LdvX+Tk5GDZsmUAHBmFxZ7S1kQR5rdM1mnoUOCJJ9wWiyoVup5+2rGeQuIpgBAEQRE4hFoyG84gM2IdZj1Iq60NeN7WeBPMNCZ2u10xFjM7Ozug8bjysYM9/qz4C0JjxVurfblQLxxlP2d2//4Yf8YZGH/GGTh58mSoZNkeomSiVqsV3+PxVjIrz2JmZGQ4vgN93PCGWg1hwQJpmFrOiakFFSZPBlatisTpxr3Ozk5UVFSgvLwc1hP/RkHxNzVeLxXRK5Sf/OQnuP7663HllVfi+++/l5YLgoD169ejb9++EEURVqsVx44dg91uhyiK0Gg0WL58OUaOHBnJ06Pe6sR4rcM//CCN15I//JbJys2Z47bo0MsvQ8ssZuRUVbmVNAVLFMWwjckElEGm2Wzu8XhDrzw0Ixg2b17CXhgE02G2vr5e8f+qX79+Ab1P/lkxm83KeeV8zYsWz2OUAilv68UXjkShiNdxmSaTSXE+0vRoXm54OzvmY+hQZGVlIbexEQP+8Q/37XrpuMJU2dCLtrY27Js82ev0dqJKBdHbdaFaDcyfH4lTTHgRvw2+bNkyrFmzBpMnT1YsHzJkCL7//ns89NBDOPPMMzFs2DCMHz8eN910E7755htcffXVkT416q1OXKCl5uTArtMpHgWlpYF3K/VSMpc7cmTyl9JFi5dOb9mvvy697OzsDGhCak+sVqtizE0oYzIBQKfTSdlXURS9TtPUI96myrHbE/bCoKflst3d3cpuigUFAU8NlJaWpjieomTW17xoen3iBqFA6BeOXn52e2Vl/P/sRCFwDTLDdrMwRPLvQL1erzhPTze8sW0bMHcuAEdyp/8HHzj+bniS7OMKPVxLjLj+evT94APptaWkBId++1u37USVCjV//CMOeWr8IwvkyV1Ma60yMjJw9913Y/Pmzfjhhx+wa9cuLF26FCeddFIsT4t6CdesVcBlsk4GA1BW5r549OjYltIlCx+d3lJuvhkG2R/cYEtm5aWaGo0m5I6ZgiAoxmWGpWTWVzOCBL0w6Gkm89ixY1KDJ5VKhT59+vToePKSWbdxmZ44S039BaGx5OkGjKtQPh96PeweumOrMjJi/7MTRZB8XKYoihEf+hAIs9ms+O4qLi72P0WWS+8Jfw2CUFGRnDfIfcxpXvynP2EofrwebPYw7dwPK1ag8eKLPa6TB/LkLjEH9BCFgWsmpEdlshR5foKr4nfflV4GW9IUzvGYTmEfl+mvoUACNhyQ/+7ZbDZ0d3f/uNKluU5XczMaamqgMpuhMptRXFzc44ZH8iDTLTPhbV60eC419XYDxpMgPx82mw3VnrK4yd4khHo9lUqlqGiKh5JZeRZTp9Mp56n11ojMdbm/cYPr1yfnDXI/c5pnrl+PkSNHon///h6vAbv694dGo0GOh0aEroE8KbFFHPVaWq0WxcXFaGpqQnFxceBlsk4sGYssPxfHuro66blzDkS/d3ZdRCLIDHuHWX8XBgnYcECj0UClUknBXmdn54+/fy6/h6kAxsle24OYssZgMEjHs9vtMBqNjrGavuZFW7gQmDIF8DRNTFUVcGIe6JjwdQPGVRCfD6vVivLychjWr3dfycnHqRfIyMiQgstYB5mdnZ2K5pluWUxv1y7OSivnkJAFC4DHHw/8uyNZBHCjVqVSochgQN7AgW6rh/brB11uLgRPw19MJiA9ndUdXiR92kYURVRWVuKVV17B3XffjQsvvFD6BXU+eqqiogL33HMPJk+ejIKCAqSmpiI9PR0lJSWYPn06nn766cBKsnrIZrNhzZo1mDFjBgYMGACtVouioiJMnjwZjz32mGIeMwpMv379MGbMGBQEc8HoYV4+xYNC4+fiWDNkiPS8u7s7qPGP4Wz64yTPZHZ2doY8j6e/zoGJ2HBAEISgmv8ACKraQKVSeZ7KJJBS5HjMdAaanQzi89HZ2YkffvgB9n372CSEei3594XJZIrpuMxjx45Jz7VareeMWiC8NQhySoSx5sEI9EatwaC4rnBKHzkSQnGxx+FRKCtLzuxvmEQtk9nQ0ICNGzdiz549aG5uDuiiQhAErFixIqTj3n777XjC1y9VD4iiiPvuuw+PPPKIsrwLjju/hw4dwqFDh/Dee+/h/vvvx/LlyzFz5sywHLumpgZXXnklvvjiC8Xy48eP4/jx4/j000/x5JNP4oUXXuD8opQcfN11Vauhuv56pHd3S9nC9vZ2RRYxEPJMZqhNf5y0Wi3UarUUXJpMJkWH0x5zXhjceqtisahWQ0jghgNpaWnobGwEAHQ1NwPO8X91dUBDAzBqlGL7fR98gGE//Sl6flvQISsrC+0nLtbajh4FcnMdY5B8+fZb4LHH3JfLM52x+PcPJDsZREMKo9GIiooK2Gw29HvzTf9NQh55JOB9EyUSvV4vVT+Iovhj9UOUdXV1ofHE9yTgZSxmTwLDOXPc/pZIkvUG+YIFEB9/HIKXa4lEvFGbKCIeZLa1teG2227D888/7xaYBSLUINM1i6DVajF69Gjs2rWrx/u655578Ijsj+qECRNw6aWXoqSkBBaLBRUVFXjuuedw9OhR1NfX47LLLsPGjRtx7rnnhvQzNDQ04Pzzz8f+/fsBACUlJbj++usxdOhQHD9+HC+99BK2b9+O2tpaXHzxxdi0aRMmTpwY0jGJYs5LcCW/eM48ckQKMtva2lBUVNSjQ0SiXNbZ/MdZYtXR0RH6xYmHCwPLRx8h7ayzQttvDKWlpWH8GWcEvH2fwYMhhHDHOCsrCwU9OB4AoLHRf6YzFoFWIGVv27YBkyYFvMuWlhZUVVVJ3ZZTa2t9vyEBxwITBUoQBBgMBqmpXHt7e0yCTHkWMzU1FXl5ee4bJWNgGE5Dh6LtvvuQ9ac/KZe73ojzFaybTPx3DkJEg8zOzk6ce+65+OqrrxTTBAQqmFJWVyNHjsStt96K8ePHY/z48Rg5ciQ0Gk2P933o0CE8+uij0uulS5di0aJFbtv9+c9/xnXXXYd169bBZrPhrrvucss+9tRdd90lBZiTJ0/Gu+++q/iy+81vfoNbb70VTz31FEwmE+bNm4dvvvkm5E6ZRDHn6a6r7OI5MzNT+iPsbOgSaDmla8OZcAWZgOMuuDPIDKr5j+t7POxDM2xYMKcWN3r6761o1x+EHmeq1WpHttOH5q++wpHvvoNGo1E8UlJSPC4LW2Mxbzdg5IqKAr4wqq+vx8GDB6XXgiBAd9JJwH//6/1NCTgWmKgnMjMzFUFmtFmtVjQ0NEivi4qKQrsu9tYgyCnWY80jqG3GDPcg0/VGnK/vSgaYQYlokPnEE0/gyy+/BOC4oLj66qtx5plnori4OKwXdL7ccMMNYdnPxo0bpazohAkTPAaYgOPnXLp0KV599VV0d3dj586dMBqNPW8qc0J5eTlWr14t7full15yu5smCAKeeOIJbN68Gd9++y327NmDF154Adddd11QxySKC97+IMounkMpaZJnMQVB6HHHUl9C7jAbwPeFurMzoe+upqWl4astW6BpbsYY12EFO3cCEyYoFgnV1UBhYUjHPLJvH5r27XM/niu1Grb/+z8Yd+5Elo/NOvv0gcViUXyWfFGpVAEFpPKg1OtFpa+yN8C96YcHoiiitrZWkS1Rq9UYPHgwdL/+NfD0017L1VliRsnOdVymzWaL6s37uro6KUGj0WiQn58f2g79/F0RJ0+GkKRNvaxWq/tCdoaNuIgGmS+//DIAIDs7G//73/8wevToSB4uoupknSyH+ckg5ObmIj8/X/rDHUqQ+fLLL0sDzq+88kqUlJR43E6j0eDWW2/F9ddfDwB48cUXGWRSYgugY56z1XwwJU2uTX/CUTnhJB8barVaYbVawxrEAoDg/AMZRJVIPNBqtbDrdLB7GJ8vvv+++9jLMHQ1zezTBw2yjJ03zW+/jZriYmhyc5G5bJnHsYmiWo3GHo65t9vt6OrqUnz2fBEEwWtQmtLSglAuOUVRRE1NjWK8V0pKCoYOHQqdTgdkZPgtVydKZjqdTjG+3mg0KqcOiaDu7m7U19dLr4uKiiI+xZoQ67HmkWIyweqpGSc7w0ZcRD+xVVVVEAQBv/71rxM6wASgGOu1b98+n9s2NTVJJQ75+fk9Hicm965sLsAZM2b43Hb69OnS802bNgXVbZMo0ciDSmewGYhINP2R708eVPY4m2k0Ojr9JTG1Wu098L7vPvdlYehq6pzKxJ+DGg1sNhssJSU49Lvfua0X1WrY/v1vDLrgAgwZMgSlpaXo378/iouLkZ+fj6ysLOj1eqkJVLBEUYTVaoXZbEZ7ezuam5tx/PhxHKusxFEPTYv2PP88vn3zTXz38ceOBkp1dR6rAWw2GyoqKhQBZlpaGkaMGOEIMJ3mzHE/KU4+Tr2EIAiKbGY0S2br6+ulBINarQ6uA74ro9Hx8DXHrnOseTIxGDD8ggvcl7MzbMRFNJOZlpYGs9mMMWPGRPIwUTFjxgxotVpYLBbs2rULzzzzjMeSWYvFgkWLFkljvRYvXhx0hkQURXz33XfS69NOO83n9n369EH//v1x+PBhdHd34/vvv8epp54a1LGJYi7Ajnnyi4COjg50d3dDo/H/1RaJpj9y6enp0lQZHR0dyPY036I3ej3gYY7NbzdsQHdODrKysjAoCUp90tLS4OlWmMcugEDIzXaczTz8UZnNUKWlAXo90ubNA/7+d+V+tm2DZtKkgP+AiqKI7u5uWK1WdHd3Kx6elvlrkuetYdKoX/7S2wlIT61WKyoqKhRzuBoMBgwePDig3xuWmFFvkpGRIU0P15ObmKGw2WyK6rnCwsLwlOk6M3ZHjvjejk29KEwiGmSWlpaiubkZxiSYd6e4uBhPPvkkbr75ZoiiiJtvvhkrV67EZZddJnWXLS8vl7rLCoKAO++8E3fddVfQxzxy5Ij0b6dWqzFgwAC/7ykrK8Phw4cBAD/88AODTEpcAZaw6HQ6pJ64UAeA9mPH3OcR87CvSAeZer1eCjKDGpfpgV2ng12nQ15JSVKU+KSlpSHt/fd79qYQL4AKPvzQ7zbOMZtdTU1I9VRm1YOmOsCPY34DLZl2BqXeAtJgdXZ2ory8XFGum5OTg9LSUvcMr7cx0Swxo15EfhPTbDYHfBMzFA0NDVKJrkqlQmGIY9HdBDpvZJIw1dVJzTNVKhXGjh0b1uEx5F1Ef1Muv/xyfPnll9i8eTPmJcFA4ptuugklJSVYvHgx9u3bh507d2Lnzp1u21199dW47bbbMH78+JCO19zcLD3PysoK6AJFPjDcefctEKNc5qRzqqysxODBgwPeD1G0CYKAMaef7nsjD+MWoxFkOplMJoii2KM/bKIouo1LTD18GP3GjYvauKBI09fWIvcf/+jZm0K5ACovh961w6APqd66ywbQVCcUfoNS1xu3JpPHuUVRXS11i5TPgelUWFiI/v37e/5cBjAmmijZpaWlQaPR/HgTs73d/SZmGNntdkUjroKCgvAHtT6mQBLVaghJ1tSrKyUF9hPDAFLT0kKaCot6JqJjMm+88Ub06dMHL7/8ssdgLBFNmzYNTz31FMaOHet1m1deeQV/+ctfUFNTE9Kx5PX/inEyPsi3i1ZpB1GiEUXRrfFPuMmb/9hstoCbvQCOgKDuySfdlo+4/nrkv/VWOE4vLujXrfPYVMerULuarljhvRQXQPsNN8DW2vrj2KV45Zw03fkoLPQ89cCJ9S0tLdi/f78iwOzfvz8GDBjAO/pEPkR7XGZjY6MU0AqCEFJPD6+cUyC5EFUqdD/zTHI1/YGyyV+4+y+QbxENMnNzc/Hmm29Cp9PhggsuwEsvvRTUfJnx4vDhwzj99NNx/vnno6amBo899hjKy8thsVjQ1taGLVu2YM6cOejq6sL69esxadIk7Nq1K9anHZA9e/Z4fDCLSYmgq6kJ327Y4L6iutpjsGC1WhXfRZH4w6PRaBTBayAlsxaLBVVVVTjw3/+i6G9/c1svhKH5TTxJ8Tc2SC4cXU39lNpmtLVBnZn5Y/DmDDa9PeJdVRXq6+tRWVkpfd4FQUBZWZn/i9dE/9mJwiRaQaYoioosZn5+fti7kks8NPX6YcUKmK68MjLHi6FI31Am7yJbWA7HnJLffPMNLrnkElx77bVYvHgxJk6ciLy8PL9d/gRBwIoVKyJ9igE5fvw4Jk2ahNraWmRnZ+Ozzz7DiBEjpPWpqamYMmUKpkyZgpNPPhm///3vUVdXhyuuuAL79u0L6iLWdSxAIOTbBTqVA1GiS83JQYqnxjrOYMGFvFRWo9FEbO4zvV4vHctkMiHXS/mlzWbDsWPHpHnR+r35pvcMX4jNb+KJyll6GQjXibOD0dOxSIk07nDtWrdF4uTJMN1zD3BijKlKpcKQIUMUf1u8SqSfnSiC5L8vnZ2dEZmSCnDMTCAPiCKSxfShq3//njepSwDMZMZOxIPMjo4O/PWvf8X3338PURRx/PhxxbQc/sRLkPnwww+jtrYWAHD77bcrAkxXd9xxB1auXIn9+/fjwIEDeOONN/Dzn/+8x8eU/6K3trYGNODcOXWK6/uJkl1AF84nRHo8plN6ejqampoAQNHN00kURTQ2NuLIkSOKhi6pJ75rvEqS7n/C9ddDfPzxwEpmw9HV1MdYpJBLcWOpvNzjtASCzYaBDz8M47hxsA8e/OMcmEQUMK1Wi5SUFFitVgCObKa3G4bBcs1i5uXlRe5vk5emXiqzGZ2NjUDfvpE5boxEcroy8i2i5bIWiwXTpk3DsmXLFBdQoigG9Ignb775pvT8/PPP97mtSqXCeeedJ73evn17UMfs37+/1G7fZrPhYACTiFfL5tbzFQgTJRuPU1NUVXncNlrlM56a/zi1t7dj7969qKmpUXw/pqSkQHfSSb53nCzd/4YORcPdd7stFj1VuXjrdtrD43kaixSWUtxYWrHCc+AMR6BZ9M477nNgElFABEFQVIZFomS2paUFnZ2d0uvi4uKwH0NiMPzYwEtmzMyZGOSj30iiYiYzdiKayVy2bBm2bt0KwNGh6+qrr8YZZ5yB4uLihKuLrpVlFgLJEMq7PwY7hYsgCBg9ejQ+//xzAMCOHTt8zo139OhRafoStVqNkSNHBnVcokSU8fbb7gsnTwaefRZw6W4drTub8uY/oijCbDZDrVbj8OHDbt2fBUFAcXExioqKoP71r4Gnn06+jJsH3VdeCTz0kGKZx8xmuLqazpkD3Hqrclk4SnFjyU9mO89ohIoXV0RBy8jIQGNjI4DwB5miKOLo0aPS65ycHKSlpYX1GD1hs9kiNoQk2mw2m6LhGYPM6IpokPncc88BcPzCbNmyJaGDnoyMDKns7eDBgxjq5463vLOsfFqRnpo+fboUZL777ru46qqrvG4rL0M+55xzeNeaeo/ycqhuv919ubNRzpQpiixVtMplVSoVdDqdNFb64MGD6OjocKvUyM3NRb9+/X78A+jMuLkGQ4mecXNlMkHro9tr1ISjFDeW/GS2ezT2lYjcyIdjWCwWdHV1hS1gaWtrU/TTiGgWE3Br3CWKInbv3g37iZt7Qzo6ejT8JJ7Js5jOqaEoeiJaLltRUQFBEPCrX/0qoQNMAIopS1588UWf2zY1NeGdd96RXk8K4Q757NmzpQZJ//nPf3Do0CGP23V3d+Of//yn9Prqq68O+phECcdHuaDUKEcmWkEm4LtkVq/XY/jw4SgrK3O/YPHQ/Q/btgFz50boTGPAYEDuKad4Xx/urqbeSm7DUYobSwsWOG5AeJJkmW+iWEhNTVX8rQhXNtM1i5mVlaWogIkIlymQBIMBaXl5sOt0sMtuiiYDeZCZkpLCKZuiLKJBpjM4GjNmTCQPExXXXHON9Hz16tVYtmyZx+3a2towe/ZstLa2AnCMq/zZz37mcdvS0lIIggBBELB69WqP2wwbNgy//OUvATgujH/xi1+4zX8piiJuu+02fPvttwCAk046SXG+REnPXyMc2XqbzaYYAxnNINMpJSUFZWVlGD58uOexpN6CnqKixA6Gesp1PshQO556GYuEsjLHukSVrGNNieKIPLsXrnnIjUajYnqriGcxvZBXviVrkJlow/SSQUTLZQcOHIjdu3cHND9cpLS0tODxxx/3uc29997rtuwhlzFCc+fOxZo1a/DJJ59AFEXceOONWLNmDS655BKUlJTAYrHgm2++wZo1a1BXVwfAMS7ymWeeCbls9dFHH8XWrVtRUVGBrVu3YuzYsbj++usxZMgQ1NfX46WXXpJKatPT07Fq1Sq/XWiJkkoPpqaIdvlMZmYmBEGAKIpQqVTSuEufUzh5C3jCNS4xXpzITH777beKwL+wsBD9+vWL1VklpmQca0oURzIyMqQO/u3t7RBFMeTMmDyLmZGR4fmmYxTIs6eeOqEnKjb9ia2IRiKXXHIJvvnmG2zevBlzY1Ti1dLSgocfftjnNp7WuwaZarUab731FhYuXIh169YBALZu3So1NnKVn5+P5cuX46KLLgryzH9UUFCAjRs34sorr8SuXbtQU1ODP/7xj27bFRcX44UXXgipPJcoIfmYmkJUqyHIygVdm/5ErHzmxM21VADDT8w/lpWV5fhDZzZzHkJA+jdIyc5Gl+xmpKGoKDL/PqGW2yaaRB9rShRH5JlMq9UKi8USUoMek8mkKLuNVRYTcM9khiOAjgecviS2Ilou+6tf/QrFxcVYu3Ytdu7cGclDRUVGRgZefvll7NixA7fccgsmTJiA3NxcaDQa6HQ69O/fHzNmzMCSJUtQUVGBWbNmhe3YZWVl2L59O1avXo0LL7xQahJSUFCAn/zkJ9JcpFOnTg3bMYkShpdyQVGlQs2996JzwABpWdTGYxoM0kNfVISCsjKk5ub+uNwXT2MRwzUuMQ7JL9QEQYhc0wlP5bfhKsWNpWQda0oUR1JSUhTfVaGOy5RnMdPT02PabEceZIqiqJhOJZExkxlbghjhCSm3b9+OmTNnoru7G0899RTmzJmTFHdHeotRo0YBAPbs2RPjMyHyo74eKCxULNq7ahU6xoxBdnY2Bg8eDMDR4bW+vh6Ao0qgpKQkMufj73suWUpew+DYsWM4cuQIAMfNvGHDhsX4jBIMP2tEUSH/+5GTk+NzWjlfzGYzvv/+e+n14MGDA5oeL5L27NkjBZdlZWXIzc2N6fmEw+7du2G1WgEAQ4cOVcx3mugS4fo8ouWy80+UqI0ZMwYff/wxrr32WixevBgTJ05EXl6e7zFJcNzRXrFiRSRPkYiSgZeMTXdeHlRmM1rgaLBgMBiil8k0Gh2Br2ujmepqoKAgcsdNQPn5+WhsbITVakXfvn1jfTpERB5lZGRIQWYo4zKPHTsmPdfpdIq51WNFp9NJQWZHR0fCB5l2u10KMAFmMmMhokHm6tWrpV8+Z+OL48ePK+Zz9IdBJhH55aX8dMzMmQCAXTt34siRIxg2bFj0us3p9YCnBgqJXpoZARqNRprmipUuQUjCEmqieCQvae3u7kZnZ2ePmzt2dnZK864DjrGY8fC9l56ejubmZgDJ0WFWHmACDDJjIeItSD1V4wZaoRsPv3RElByMRiNaW1vZCCBO8fs+BLxpQRQVGo0G6enpUgfW9vb2HgeZzhkIAMeNzpycnLCeY7DkP0cydJh1nSPTX/UkhV9Eg8xNmzZFcvdERA4+MjkVFRXAiekxDh48qLjJFZN5s6qqWC5LRJSgMjIyFEFmoUsvAF+6urrQ2NgovY6XLCagnMaku7sbVqs14lN8RRJvKMdeRIPMs846K5K7JyJy8JHJ6Tt0KFr37gWgLJ/RaDRQq9WRPa+1a92XTZ4MPPssMG9eZI9NRERhl5GRIWUjezous66uTrrRmZKSElfjHlNSUqDRaKQ5i81mc0IHmewsG3vMHRNRUktPT/f4hzziWczycmDxYvflNhuwcKFjPRERJRSDrAeAzWYLePyi1WqVmgYBjixmvJVwyrOZiV4yyyAz9sL26Z46dSqWLl0qtaEnIooXffv2dbvTHPE/OitWOAJKT2w2YOXKyB6fiIjCTq1WQy+rnmlrawvofcePH5eymBqNBvn5+RE5v1DIx2UmevMfBpmxF7Ygc9OmTfjNb36DkpISTJo0CX/729+wf//+cO2eiChoWq3WbdxMxDOZBw6Etp6IiOKSvMtse3u73+27u7tx/Phx6XVRUVHcZTGB5Gr+E7VO8uRV2D7hw4YNgyiKEEURX3zxBe6++26cdNJJGDVqFO699158+eWX4ToUEVGPFRcXK8ZgRvyPTmlpaOuJiCguyYNMo9Hod9aE+vp62O12AI5MaEGcNn+Tl8t2dnZK55xoRFFkJjMOhC3I/OGHH7Bnzx489NBDOOWUU6SAc+/evXjkkUcwceJElJaW4re//S3+97//BTyNCRFRyEwmaCwWlOTlQWU2Q2e3Iyc1FTCZHI9IWLAA8NZYSK0G5s+PzHGJiCiiDAbDj0MwTCaYjh//8e+Jy8NmsymmLSksLIx807kgpaWlKYaWdHZ2xvBsgtfd3a2IMxhkxoYgRijaO3jwIN544w28/vrr2Lp1K2wnxiY5P7z5+fm4+OKLcemll+JnP/sZPwBxatSoUQCAPXv2xPhMiELgr/NfpG56/etfwK23Kpep1cDy5cDcuZE5JhERRdy+fftgNBpx6oQJPrerO3YMhw8fBgCoVCqMGTMGGk3Ep6kP2t69e6VS2YEDB8bl2FF/jEYj9u3bB8CROR43blxsTygCEuH6PGIF4SUlJbjllluwadMmHD16FMuXL8eMGTOQmpoKURRRX1+PVatWYebMmSgoKMBVV12FdevWwehjvjsiooQyZ477sm3bGGASESU4ecmsL/IsZkFBQVwHmEByNP9hqWx8iMqo4/z8fMyfPx9vvfUW6uvr8fLLL2P27NkwGAwQRRHt7e145ZVX8Itf/AIFBQW46KKLsGLFCjQ0NETj9Igo2RmNQHW1+/Lqase6aBo0KLrHIyKisMvMzAQAfLVlC7596y33DaqrUV9dLc3PLAgCioqKonmKQUmGaUwYZMaHqLe2MhgM+PnPf461a9eivr4eb7/9NhYsWID8/HyIogiLxYL33nsPN9xwA/r06YOzzz4b//znP3Hw4MFonyoRJQu93vEIdHk4eBvvGclxoEREFBXp6elQqVSw63Swp6W5rRfT03FM1nk2Ly8PKSkp0TzFoLhmMhOxhwqDzPgQ0/7JqampmD59Op599lkcO3YMmzdvxq233oqSkhKIogibzYYtW7Zg8eLFGMS7/0SUSAwGoKzMfXlZmWMdERElLJVKBYOP7/Lm5mZFsFNcXByN0wqZPMi02WyKnyEueGmwJL+By+lL4kPcTNIjCALOPPNM/OMf/0B1dTV27dqFe+65ByeddJLUqZaIKKyqqmJ9BkRElKB8jcts3rVLep6bm5swwY5Go1Fk/+JuXKbB4PsBZjLjRdwEma7Gjx+PBx98EN999x327duHRx55JNanRESJbO1a92WTJwOrVkXmeEaj7wcRESU0Z5CZ8/77busGXXst8jZsAAD06dMnqucVKnk2MxHHZVosFuk5g8zYidsgU27o0KG48847Y30aRJSoysuBxYvdl9tswMKFjvXh5hzv6e1BREQJLT09HbrDhzHgH/9wWyfY7Rj48MMoaGlBmocxm/FM3vwn7jKZfhr5dXd3w263S4sZZMZO1Poof/3113j33XexZ88eNDc3BzTBqyAI+Oijj6JwdkSU1FascASUnthswMqVAKsliIioBwRBQJ9334UgC2oU62029HnvPWDq1CifWWjiehoTvR7wlF09cQO3S7ZOEIS4nzImmUX8X/7w4cOYN28ePv744x69TxRFCP4mUCciCsSBA6GtJyIi8kAnmwfTk5QjR6J0JuEjz2RaLBbYbDao1eoYnlHgXMdjMpaInYgGmS0tLTjzzDNRU1PDxj1EFDulpaGtJyIi8kA9eLDvDRLw70tqaqpjepYTGVqz2eyzk25cqKoCCgrY9CeORDTIfOSRR3DgwAEIgoCCggL85je/wZlnnoni/2/vvqOjrhL+j38mhVRCS0gIJZSEDsoCiljAKCIqKCAKrkik2BDxZ9k9uvIYH8V1d9HHtbDro4/EQlFAAqIIiJSjy6Kgiy4lQOhFQCCFBEJCvr8/svk6IZNMJrmTmYT365w551vu3O+d3FzIZ7537sTF1ZlVtgDUAxMmSDNmuJ4yGxgojR9f+20CANR5QfffL+vVV11Pma2j/784HA6FhYUp7z9fCZKfn+9fIbOihfzeflvnBg2yD5E1fMurITM9PV1Syapa3333XZ1bXQtAPZGUJL3yijR1atnjgYHSO++UnAcAwEOOjh11/OmnFfPCC2WOW4GBctTh/1/Cw8PtkOlXn8t0s5Bf8fLlUuPGkriT6WteXV32wIEDcjgcevjhhwmYAHxrzJjyx775RkpJqfWmAADqD8ddd5U/+PXXdfr/F7/9GhM3C/mFz5tn7xIyfcurIbP0+4MSExO9eRkAqFxeXsnjQrGxro8DAFBFrqaSOtx9VtPPXfg1Jv6ytso5N185FnjwoL1NyPQtr4bM0nB58uRJb14GACoXGSm1a1f+eLt2JecAAKiOvDyFFBW5PF6X38R0vpNpWZYKCgp82JqSNhw8eFAn/3MDqyJn4+LsbUKmb3k1ZI4ZM0aWZWn58uXevAwAAABQ+yIj5WjfvvzxOv4mZkBAgEJDQ+19X06ZPXfunDIyMnT06FH9cuutsgJcxxcrMFAnhg2z9wmZvuXVkDl+/Hh17txZixcv1rJly7x5KQCo2OnTlT8AAEAZznczfbX4T1ZWlrZu3WovQlTQpo1+/t3vyhcMDNTZ119XQZs2kviOTH/g1ZAZHh6uTz/9VK1atdKIESP04osvKjs725uXBIDyIiIqfwAAUB31+E1M589l1vadzNLpsZmZmTrvtNBPs2bN1PzCleIl6ZtvlDdqlL3LXUzf8+pXmEhShw4dtHnzZg0aNEjTpk1TamqqOnXqpGbNmimggtvdpRwOh1atWuXtJgIAAACeq8dvVPrqTmZBQYH27Nlj372USqbvtm7dWtHR0dLx4+Wf1L59mc+NEjJ9z+sh8+jRo0pJSdGmTZskSUVFRdq6davb51mWxW1uAAAAwAec72QWFhaqsLBQwcHBXr1mVlaW9u7dW+buZWhoqNq3b18SeitYUMk6fVqFTndbCZm+59WQmZOTo2uvvVYZGRmSZC9/7C/LIAMAAAAoLygoSEFBQSr6z+q5Z86c8VrILC4u1qFDh3Ts2LEyx5s1a6bWrVsrMDCw5EAFiyk52rdXW0knNm6URMj0B14Nma+99pq2b98uh8OhmJgYTZkyRVdffbXi4uIUEhLizUsDAAAAqCaHw6GwsDDl5uZKKgmZUVFRxq9T0fTYNm3aqFmzZtWqk5Dpe14NmfPnz5ckxcfH67vvvlOc03fXAAAAAPBf4eHhdsj0xuI/bqfHXshpMaWffvrJvsuamJioXbt22ee4meV7Xg2Zu3fvlsPh0OTJkwmYAAAAQB3ircV/KpoeGx0drdatW1e8OGjpQkt5eWWm8pYG4ID/tJE7mb7n1ZAZGhqq/Px8JSYmevMyAAAAAAxzXvznzJkzKi4udvvtEO4UFBRo9+7dZe6Mejw9NjJSXS44FOu8w/ovPufVkNmhQwedPHlSp06d8uZlAAAAABgWGhoqh8NhL9p59uzZMsHTU6dOndK+ffvKTI8NCwtT+/btFRoaWuP2wn/U7K0IN0aNGiXLsvTFF1948zIAAAAADHM4HGXCX3U/l1lcXKwDBw5o9+7dZQJmdHS0Onfu7HnAPH1aR9avL3f4pyVLtPvHH6vVRpjl1ZD54IMPKikpSYsXL9ayZcu8eSkAAAAAhkWo5LOOAWfO6OyJE79+V2UF31l5oYKCAmVkZJT5/GVAQIDatWunhISE6k2/jYhQYMOG5Q4Xh4UpuHFjz+uDcV6dLhseHq6lS5dq6NChGjFihKZNm6bJkyerUaNG3rwsAAAAAAMSunVTQmUFKvn846lTp7R3714VFxfbx0xNj3X1nZ0NDh5Ugx49alQvzPBqyExOTpYkRUREqKCgQNOmTVNqaqo6deqkZs2auX3nwuFwaNWqVd5sIgAAAACDiouLdfDgQR0/frzMcberx3ogLD293LHOEybozGuvSZMn17h+1IzDsry3/FJAQIAcDkeZY5ZllTvmSmk553nbqH3dunWTJG3ZssXHLQEAAEBtK8rO1rZ169Rj2LCyJ/bskWJifv1akf+oaPXYhIQENW3a1Eyjdu6U1aWLHC5yghUYKMe2bVJSkplr+aG68Pe5Vz+TKZWEReeHq2OuHgAAAAB8K6hRIwVGRZU/ERFRLmCeOnVKW7duLRMww8LC1KVLF3MBU5L+7/9cBkxJJcfffdfctVAtXp0uu2fPHm9WDwAAAMDL3H1+sqLpsTExMWrVqpWR6bFl7N1bs/PwOq+GzISESj8mDAAAAMDPufxuzN27pZgYnT17Vrt379aZM2fsU8anx16obduanYfXeX26LAAAAIC6K+qzz8ofvPJKnX79dW3btq1MwAwPDzc/PfZCEyZIgYGuzwUGSuPHe+/aqBJCJgAAAADXdu5U2DPPlD9+/rwi/t//U7DT1NSYmBh16tSpxl9P4lZSkvTKK+UOW4GB0jvv1OtFf+oKQiYAAAAA19wsstNsyRIFBASoffv2atOmjfnPX1ZkzJhyh04sXiylpNTO9VEpr34mEwAAAEAd5mYRnfBjx9S1a1eFhITUTnsqEcgdTL/BnUwAAAAArrlZRCeqR4/aD5h5eSWPCwQXFro8jtpHyAQAAADgmptFdhwTJtRueyQpMlJq16784e7dS87B5wiZAAAAAFyrYJEdscgOKsFnMgEAAABUbMwYaerUsse++Ua6/HLftOf0aUlScXGxtmzZoqKiIjVu3FjtXNzdhG8QMgEAAAC4VsHnHxUbW3I8IqL22/SfawZI6tKnj/Lz8xUZGSnV1sq2cIuQCQAAAMC1ij7jWHrX0LJqry0uBAUFKSoqyqdtQHnEfQAAAACAMdzJBAAAAODafz7/CHiCkAkAAADANV985hJ1HtNlAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxtT7kGlZljIzMzV//nw9/fTTGjJkiOLi4uRwOOxHVaSmppZ5jiePvXv3Gnkt//rXv/Too4+qb9++atasmYKDgxUZGan27dtr+PDhSktL09mzZ41cCwAAAACqI8jXDfC2J554Qq+88orPrt+wYUM1b968RnUUFhZq8uTJeuedd2RZVplzRUVF2rNnj/bs2aP09HQ999xzmjNnjq644ooaXRMAAAAAqqPeh8zz58+X2Q8JCVH37t21adMmj+oZPXq0Lr300iqVff755/X9999LksaMGaPw8HCPrnWhcePGae7cufZ+cnKyBg8erNatWysnJ0fbtm3Te++9p6ysLO3du1fXX3+9Nm7cqC5dutTougAAAADgKYd14a2xeuZ///d/tXXrVvXq1Uu9evVS165dFRQUVGaarMkfwYkTJ9SyZUsVFBRIkjZu3KjevXtXu77169erf//+kqTAwEClp6frlltuKVcuJydHQ4cO1bp16yRJt99+u+bPn1/t65bq1q2bJGnLli01rgsAAABAzdSFv8/r/Z3M++67r1av9/7779sBs1evXjUKmJL0+eef29vDhw93GTAlKSoqSm+88YZ69uwpSVqzZk2NrgsAAAAA1VHvF/6pbe+88469bSLgHj161N7u2LFjpWWdz+fm5tb42gAAAADgKUKmQd988422bt0qSQoPD9ddd91V4zpjY2Pt7YyMjErLOp8vvY0OAAAAALWJkGnQ22+/bW/feeedioqKqnGdI0aMsLcXLVqkTz/91GW5nJwcTZkyxd5/4oknanxtAAAAAPBUvf9MZm3Jzs4us9COqc+C9urVS0899ZT++Mc/qri4WMOGDdN1112nwYMHq1WrVsrNzdW2bduUlpamrKwsBQcHa8aMGRozZoyR6wMAAACAJwiZhsyePVv5+fmSpO7du6tfv37G6n7xxRfVsWNH/dd//ZcOHDigVatWadWqVWXKOBwOTZkyRQ8//LDbz266UtH02szMTHXo0KFa7QYAAABw8WG6rCHOU2W9saLtXXfdpVdffVUJCQkuz1uWpXfffVd/+tOfdPLkSePXBwAAAICqqPffk1kRk9+TuXHjRvXt21eSFBoaqsOHD6tJkyY1qtPZli1bNHz4cO3cuVMtW7bUtGnTdOONNyo+Pl55eXn67rvv9PLLL2v58uWSpKSkJC1fvlzt2rWr8bXrwvfwAAAAABeLuvD3OXcyDXC+i3n77bcbDZjbt2/XFVdcoZ07dyohIUGbNm3S/fffr4SEBAUHB6tx48YaNGiQvvjiCz3wwAOSpJ07d+q3v/2tsTYAAAAAQFURMmsoLy9Pc+fOtfdNT5X9/e9/b3/n5fTp08t8pcmFZsyYoUaNGkmS1q9fr2+//dZoWwAAAADAHUJmDc2bN88OgZ07d9bVV19trO6CggJ98cUX9v4NN9xQafmIiAhdeeWV9v6GDRuMtQUAAAAAqoKQWUPOU2UnTZpktO4TJ07o3Llz9n7jxo3dPqf0TqYknT592mh7AAAAAMAdQmYN/PTTT/bdwgYNGuiee+4xWn/Dhg3L7O/fv9/tc/bt22dvR0dHG20PAAAAALhDyKwB57uYw4cPNx7qGjZsWGaF2NmzZ1dafufOnWWmyF5++eVG2wMAAAAA7hAyq+ns2bP68MMP7f3qLPjTtm1bORwOORwOpaWluSzjvErs9OnTtXTpUpfljhw5olGjRun8+fOSpN69e6tnz54etwkAAAAAaiLI1w3wtqysLM2YMaPSMs8880y5Yy+88EKlz1mwYIFOnTolSUpMTNS1115b/UZW4ve//70WLlyobdu26dy5cxo2bJhuvPFGDRkyRC1atFBeXp6+/fZbzZ49W9nZ2ZJKFgD6+9//7pX2AAAAAEBlLoqQOX369ErLuDrvLmQ6T5WdOHGiHA5H9RroRmRkpFatWqWxY8dq1apVsixLy5Yt07Jly1yWb9u2rT788EP16dPHK+0BAAAAgMrU+5DpDTt27NC6deskScHBwUpJSfHq9Vq0aKEvv/xSX331lebNm6cNGzZo//79On36tEJCQhQTE6Pf/OY3GjZsmO644w6FhYV5tT0AAAAAUBGHZVmWrxsB/9WtWzdJ0pYtW3zcEgAAAAB14e9zFv4BAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhT70OmZVnKzMzU/Pnz9fTTT2vIkCGKi4uTw+GwH1WRmppa5jmePPbu3Wv0Na1bt05TpkxRz549FR0drZCQELVs2VJ9+vTRQw89pI8++kjnzp0zek0AAAAAqIogXzfA25544gm98sorPrt+w4YN1bx5cyN17d+/Xw8++KA+//zzcucOHz6sw4cPa9OmTfrb3/6mPXv2qG3btkauCwAAAABVVe9D5vnz58vsh4SEqHv37tq0aZNH9YwePVqXXnpplco+//zz+v777yVJY8aMUXh4uEfXcmX79u0aNGiQDh48KEnq3Lmzhg0bpk6dOikqKko5OTnauXOnvvrqK3333Xc1vh4AAAAAVEe9D5ldu3bV1KlT1atXL/Xq1Utdu3ZVUFBQlafJlurcubM6d+7sttyJEye0ZcsWe/++++7zuM0Xys3N1U033aSDBw+qQYMGev311zVx4kQFBLie7Xzs2DE1atSoxtcFAAAAAE/V+5BpIuR54v3331dBQYEkqVevXurdu3eN6/zd736nPXv2SJLefvtt3XPPPZWWNzU9FwAAAAA8Ve8X/qlt77zzjr1tIuAePXpU7777riSpf//+bgMmAAAAAPgSIdOgb775Rlu3bpUkhYeH66677qpxnWlpafZKsePGjatxfQAAAADgTYRMg95++217+84771RUVFSN61yzZo293a9fPxUWFuqtt97SgAEDFBMTY399ydChQzVr1iwVFhbW+JoAAAAAUF0Oy7IsXzfCF5wX/jHxI8jOzlZ8fLzy8/MlSevXr1e/fv1qXG+zZs108uRJSdKPP/6osWPHavPmzRWW79y5sxYtWlSlRYqqolu3bpJUZjEjAAAAAL5RF/4+r/cL/9SW2bNn2wGze/fuRgLmuXPn7IApSaNGjVJGRoaaNGmi8ePHq1evXrIsSxs3btSsWbOUk5Oj7du3a8CAAfr+++/VsmXLKl+r9Jf1QpmZmerQoUONXwsAAACAiwMh0xDnqbKmVrQ9depUmf2MjAz16NFDK1euVGxsrH387rvv1hNPPKHrrrtOO3bs0LFjxzR58mSlp6cbaQcAAAAAVBXTZVXz6bIbN25U3759JUmhoaE6fPiwmjRpUqM6JenIkSOKj4+39wMCAvTTTz+pa9eubtvhcDi0Y8cOJSYm1qgNdeF2PAAAAHCxqAt/n7PwjwHOdzFvv/12IwFTkho2bFhm/5prrqkwYEpSnz59dNlll0kqCc5ffvmlkXYAAAAAQFURMmsoLy9Pc+fOtfdNTZWVpIiICAUHB9v7ffr0cfuc0juZkrRr1y5jbQEAAACAqiBk1tC8efOUm5srqWRl16uvvtpY3Q6HQ506dbL3GzVq5PY5jRs3trdzcnKMtQUAAAAAqoKQWUPOU2UnTZpkvP5LL73U3s7OznZbPisry952DpwAAAAAUBsImTXw008/acOGDZKkBg0a6J577jF+jaFDh9rbGzdudFveuYzzXVAAAAAAqA2EzBpwvos5fPhwRUdHG7/G0KFD7TuS69at09atWyssu3HjRjv0BgYGavDgwcbbAwAAAACVIWRW09mzZ/Xhhx/a+9VZ8Kdt27ZyOBxyOBxKS0tzWSYsLEypqamSpOLiYo0ePVpHjx4tV+7gwYP67W9/a++PHTtWrVq18rhNAAAAAFATQb5ugLdlZWVpxowZlZZ55plnyh174YUXKn3OggULdOrUKUlSYmKirr322uo30o3Jkydr+fLlWrZsmX766Sd16dJFEyZMUK9evWRZljZu3Kh3333XXugnKSlJ//M//+O19gAAAABARS6KkDl9+vRKy7g67y5kOk+VnThxohwOR/UaWAVBQUFauHChJkyYoLlz5+rUqVMVBuerr75aH3/8MYv+AAAAAPAJpstWw44dO7Ru3TpJUnBwsFJSUrx+zbCwMM2ZM0dr1qzR+PHjlZSUpIiICIWFhSkhIUGjR4/WkiVLtG7dOsXFxXm9PQAAAADgisOyLMvXjYD/6tatmyRpy5YtPm4JAAAAgLrw9zl3MgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGEDIBAAAAAMYQMgEAAAAAxhAyAQAAAADGOCzLsnzdCPivhg0bqrCwUB06dPB1UwAAAICLXmZmpoKDg5Wbm+vrplSIO5moVEREhIKDg2vlWpmZmcrMzKyVa6F20Kf1D31a/9Cn9RP9Wv/Qp/VPdfs0ODhYERERXmiROdzJhN/o1q2bJGnLli0+bglMoU/rH/q0/qFP6yf6tf6hT+uf+tyn3MkEAAAAABhDyAQAAAAAGEPIBAAAAAAYQ8gEAAAAABhDyAQAAAAAGMPqsgAAAAAAY7iTCQAAAAAwhpAJAAAAADCGkAkAAAAAMIaQCQAAAAAwhpAJAAAAADCGkAkAAAAAMIaQCQAAAAAwhpAJAAAAADCGkAmfWr16tVJSUpSYmKiIiAg1adJEPXr00JNPPqmdO3f6unn1WkpKihwOR5Ufb7zxRpXqTU9P16hRo9SuXTuFhYUpOjpavXv3Vmpqqg4fPuxRG8+fP68PPvhAN998s1q3bq2QkBDFxsbqyiuv1F/+8hdlZWVV45XXPZZlKTMzU/Pnz9fTTz+tIUOGKC4urkz/VIc/99XZs2c1c+ZMJScnKz4+XiEhIYqPj1dycrJmzpyps2fPelSfvzHZpwMHDvRoLC9durRK9dKnnsnLy9PixYv12GOPacCAAWrRooVCQkIUERGhhIQE3XrrrXr77bd1+vRpj+plnPqOyT5lnPqHjRs36m9/+5smTpyofv36qUOHDmrUqJGCg4PVrFkz9enTRw8//LD+8Y9/eFQv49QFC/CBs2fPWnfffbclqcJHaGio9eqrr/q6qfXWuHHjKv35X/h4/fXXK63v5MmT1uDBgyuto1GjRtZHH31Upfbt3bvX6tu3b6X1xcfHW1999ZWJH4dfe+yxx9z2jyf8va9++OEHKykpqdL6OnXqZG3evNmj1+1PTPbpgAEDPBrLn376qds66VPPvPzyy1ZoaGiVfv4tWrSwli5d6rZOxqlvme5Txql/aNSoUZX74JZbbrFOnDhRaX2M04o5LMuyBNQiy7I0atQoLVy4UJIUGRmp8ePHq2/fviooKNDy5cu1YMEClf5qvvnmm3rooYd82eR6KSUlRe+9954k6fnnn1f37t0rLX/JJZeoXbt2Ls+dPXtW1113nf3OX0xMjCZOnKju3bsrJydHixYt0ooVKyRJgYGBWrRokYYOHVrhtX755RddeeWV2rFjhySpTZs2mjhxopKSknTs2DHNmTNHGzZskCRFRERo9erV6tu3r2c/gDrk0Ucf1V//+ld7PyQkRN27d9emTZvsY1X9p9zf+2rXrl3q37+/jh8/Lknq2rWrUlJS1Lp1ax04cEBpaWnaunWrJCk2Nlbr16+v8PfSn5ns04EDB2rt2rWSpLfeekvNmzevtPwVV1yh2NjYCs/Tp5574IEH9NZbb0kqeQ3XXXed+vbtq7i4OJ0/f14//vijPvjgAx05ckRSydhasGCBbrvtNpf1MU59z3SfMk79Q+PGjRUUFKTLLrvM/rumSZMmKi4u1uHDh7VmzRotXbpUxcXFkkr+9tmwYYNCQkLK1cU4dcN4bAXceP/99+13T2JiYqytW7eWK/Pxxx9bDofDkmSFhIRYe/bsqf2G1nPOdzJXr15do7r++7//266rY8eO1qFDh8qVmTFjhl2mefPmVnZ2doX1jR8/3i575ZVXlitbXFxsTZkyxS7TrVs3q6ioqEavwZ+99dZb1tSpU620tDRr8+bNVmFhoWVZVpl3IqvK3/sqOTnZLjty5EiroKCgzPmCggJrxIgRdpnBgwdX+bX7E5N96nyHxMS/lfSp5x544AErOTnZ+uyzz+y+vFBOTo51yy232K8zOjraysrKclmWcep7pvuUceoffvzxR6u4uLjSMt99953VtGlT+7XOmDHDZTnGaeUImahVxcXFVkJCgv0LXdn0gQcffNAul5KSUoutvDiYCpnZ2dlWRESEXdeGDRsqLDtkyBC7XGpqqssyO3bssAICAuw3GPbt2+eyXGFhodWjRw+7vrS0tGq/hrrK00Di7321atUqu0xsbGyF/xlnZ2dbsbGxdtk1a9a4eeV1h69DJn1aPe6m1JU6ffq01aJFC/t1vvfee+XKME79g8k+tSzGaV3jHA6vueaacucZp+6x8A9q1ddff619+/ZJkhISEnT77bdXWPbxxx+3txcuXKiCggKvtw+eW7x4sfLy8iRJV111lS677LIKyzr36Zw5c1yWmTdvnj1NZdSoUWrTpo3LckFBQZo6daq9P3v2bI/bfrHx975yPj5p0iRFRUW5LBcVFaVJkya5rQ+eo0+rp2nTplUqFxERoWHDhtn7mzdvLleGceofTPapafSp9zl/hOjnn38ud55x6h4hE7Xq888/t7dvvPFGBQRU/CvYoUMHdezYUZKUm5urdevWeb198Jxzn958882Vlh0wYIAiIiIkSTt27HC5grAn9d1000329urVq3XmzJkqtfli5e99Vd36Pvvss0rLouroU+9z/mMvPz+/3HnGad3jrk9No0+9z3kstWjRotx5xql7hEzUqh9//NHeruxdH1dlnJ8Ls5599lklJSUpPDzcXpp9xIgReuedd9wube1JnwYFBalXr14unytJlmXp3//+d5Xra9GihVq1aiVJKioqsj/ADtf8ua9++eUX+93iwMBA9e7du9L6evfubb9JdfjwYZ04caLS8heL++67TwkJCQoNDVVUVJQSExM1ZswYffTRRzp//nylz6VPa4fzWGrbtm2l5xmndYO7Pr0Q49S/bd++XdOnT7f377jjjnJlGKfuETJRqzIyMuztqqxg5Vxm+/btXmkTpHXr1mnXrl06c+aM8vPztX//fi1atEiTJk1S+/bttXLlSpfPsyyrzDtyNe3TQ4cO2d83FhgYqNatW9eoPvzK3/vKeb9ly5YKDg6utK4GDRqoZcuWFdZ3sVq5cqX279+vgoIC5ebmKjMzU/PmzdPo0aPVtWvXMqvXXog+9b6MjIwy/55euNIk47TucdenrjBO/cM///lPpaenKz09XfPnz9ebb76pu+66S5dccokd0oYPH67777+/zPMYp1UTZKQWoIpOnTplb0dHR7st71zG0y+fhXvh4eFKTk7WZZddpnbt2ikkJETHjx/X+vXrtXDhQp05c0ZHjhzRjTfeqI8//lgjR44s8/zTp0+rsLDQ3q9pnzr/fpR+OXJN6sOv/L2vPP23obTcgQMHXNZ3sWncuLGuv/569e3bV61atVJQUJCOHDmidevWacmSJSoqKtKOHTt01VVXadWqVerfv3+5OuhT7zp//rwmTpxof+5q5MiR6tq1a5kyjNO6pSp96oxx6l9eeOGFCqeHduzYUZMnT9aUKVPkcDjKnGOcVg0hE7UqNzfX3g4LC3Nb3rlMTk6OV9p0sXr44Yf1xhtvKDIysty5hx56SH/+8581ZswYrV27VsXFxRo7dqwuv/xye4qGVLY/pZr3qae/H+7qw6/8va/o++p78cUX1bt3b5ff4zZ16lRlZGTo9ttv17///W+dPXtWI0eO1K5du+zPCJWiT73rkUce0ddffy1Jat68uV577bVyZRindUtV+rQU47TuCA0N1aBBg9SvX79yAVNinFYV02WBi1SfPn1cBsxSLVq00GeffaZOnTpJks6cOaM//elPtdU8AFXUv39/l3+4lurUqZNWrlxpv6P9888/6+9//3ttNQ+SXnrpJc2cOVNSydS0jz76SPHx8T5uFWrC0z5lnPqfpUuXyir5Okfl5+crIyNDM2fOVHx8vN58803169dPzzzzjH2nGp4hZKJWNWzY0N6uykqgzmUqWn4Z3hMREaFnnnnG3l+yZEmZ8879KdW8Tz39/XBXH37l731F33tXXFxcmWXvLxzLEn3qLa+88oqeeuopSVJwcLA+/vhjDRw40GVZxmnd4EmfeoJx6jthYWHq2LGjHnzwQf3444+65pprZFmWpk+frueee65MWcZp1RAyUasaN25sb//yyy9uyzuXcX4uak9ycrK9vX///jLLs0dGRioo6NdZ9zXtU+f97OxsFRUV1ag+/Mrf+8rTfxvc1YfynMfytm3byp2nT82bMWOG/R15DRo00MKFC3XrrbdWWJ5x6v887VNPMU59LyIiQmlpafZU2b/85S/Kzs62zzNOq4aQiVrVuXNne3vPnj1uyzuXcX4uak9MTEyZfecPhDscDvu7TKWa92mrVq3sKbznz5/X/v37a1QffuXvfeW8f+jQoTKLKrhSWFioQ4cOVVgfynMey64WdqBPzfrjH/+oJ598UpIUEhKi9PR0tyuPMk79W3X61FOMU//Qrl07denSRVLJXb7169fb5xinVUPIRK3q2bOnvf3tt9+6Le9cxvm5qD0XvgvWpEmTMvue9GlRUZF++OEHl8+VSv7h7t69e5XrO3LkiA4ePCipZNnvylb1g3/3VUxMjOLi4iSV/Cdb2RL+krRx40b7czLx8fFq1qxZpeVRdixfOI4l+tSk5557Tk8//bSkkml4S5Ys0ZAhQ6r0XMapf6pJn3qCceo/nKedOq/YKjFOq4KQiVp100032dtffPFFpR+mzszM1I4dOySVDPSrr77a6+1DeatXr7a3W7duXW6lMuc+/fzzzyuta+3atcrLy5MkJSUlKSkpqVwZT+pzPn/ttddWeRW1i5W/91V163N+HirmPJZLF/S6EH1ac3/4wx+UmpoqqeRropYuXaobbrihys9nnPqfmvapJxin/qG4uFiZmZn2/oWzuhinVWABtej8+fNWmzZtLEmWJOujjz6qsOyDDz5olxs3blztNRK2vLw8q0uXLnY/PPTQQ+XKZGVlWREREXaZDRs2VFjfkCFD7HLPPvusyzIZGRlWQECAJckKCQmx9u/f77JcYWGh1aNHD7u+WbNmVecl1mmlr72q/5T7e199+eWXdpnY2FgrJyfHZbns7GwrNjbWLrt69erKXnad4mmfVtXRo0etmJgYu+4///nPLsvRpzXzu9/9zn4NkZGR1tq1az2ug3HqX0z0aVUxTv3HvHnz7NcZEhJiZWdnlznPOHWPkIlal5aWZv8yN2/e3Nq2bVu5MvPnz7ccDoc92DIzM33Q0vorLS3N+vzzz63z589XWObnn3+2kpOT7b4KDQ219u3b57JsamqqXa5Tp07WoUOHypWZMWOGXSY6OtrKysqq8NopKSl22auuuqrcP+7FxcXWI488Ypfp0qWLVVhYWMVXX39UJ5D4e19de+21dtmRI0daBQUFZc4XFBRYI0eOtMtcf/31VX7tdYGnffrqq69aX3/9daVldu7caV1yySVV+oPDsujT6nrsscfs1xAVFWV988031a6LceofTPUp49Q/zJw501q5cqVVXFxcablFixZZkZGR9mu9//77XZZjnFbOYVmWJaAWWZalESNGKD09XVLJVNjx48erb9++Kigo0PLlyzV//nyV/mq+9tprmjJlig9bXP88+uij+utf/6q4uDjdcMMN6tmzp+Li4hQSEqJffvlF69ev14IFC+yVZAMCAjR37lzdcccdLus7c+aMkpOT9c9//lNSybSSSZMmqXv37srJydGiRYu0fPlySSWfH1iwYIFuu+22Ctt3/Phx9e/fX7t27ZIkJSQkaOLEiUpMTNTx48c1Z84c+1rh4eH66quvdPnll5v68fidrKwszZgxo9zx6dOn29t/+MMfyp1/4YUXyh3z977auXOn+vfvb38uqWvXrrr33nvVunVrHThwQLNmzdLWrVsllXz5+T/+8Q916NChwvr8lak+ve2227R48WK1a9dO119/vbp3766YmBgFBQXp559/1rp167R48WJ74YewsDAtX7680o8f0KeemzZtWpm+eeqpp3TZZZe5fV50dLSuuuqqcscZp75nsk8Zp/4hJSVF7733nuLj43X99derZ8+eio2NVVhYmHJzc7Vjxw4tW7ZM//rXv+zn/OY3v9FXX32lRo0alauPceqG0cgKVNGZM2esMWPGlHnX/sJHSEiI9fLLL/u6qfXS1KlTK/3ZOz9at25trVixwm2dJ06csAYNGlRpXVFRUdacOXOq1Mbdu3dbvXv3rrS+uLg468svv6zpj8Pv7dmzp8r95fyoiL/31aZNm6wOHTpUWl9SUpL1ww8/VKk+f2SqT2+99dYqP7dbt27Wxo0bq9Q++tQzAwYMqFZ/DhgwoMI6Gae+ZbJPGaf+Ydy4cVXuh4CAAGvixInl7iZeiHFaMUImfGrVqlXW2LFjrfbt21thYWFWo0aNrG7dulmPPfaYlZGR4evm1VuHDh2yZs+ebT3yyCPWVVddZSUmJlpNmjSxgoKCrMaNG1udO3e27r77bmvevHnWuXPnPKr7k08+sUaOHGm1adPGCgkJsZo2bWr16tXLmjZtmnXw4EGP6ioqKrLS0tKsIUOGWC1btrQaNGhgxcTEWP369bNeeukl6+TJkx7VV1eZDpml/Lmv8vPzrddff90aOHCgFRcXZwUHB1txcXHWwIEDrddff93Kz8/3qD5/Y6pPd+3aZb377rvW/fffb11++eVWu3btrKioKCsoKMhq2rSp1aNHD2vChAnW0qVLK50e7wp9WnXeCJmlGKe+YbJPGaf+IScnx1q8eLH1+OOPW8nJyVZCQoIVHh5uBQYGWg0bNrQSEhKsm266yZo+fbq1e/duj+pmnJbHdFkAAAAAgDF8hQkAAAAAwBhCJgAAAADAGEImAAAAAMAYQiYAAAAAwBhCJgAAAADAGEImAAAAAMAYQiYAAAAAwBhCJgAAAADAGEImAAAAAMAYQiYAAAAAwBhCJgAAAADAGEImAAAAAMAYQiYAAAAAwBhCJgAAAADAGEImAABwy+FwyOFwaODAgb5uCgDAzxEyAQDwY1lZWUpNTVVqaqrS0tI8fn5BQYEaNWokh8Ohe++913wDAQC4QJCvGwAAACqWlZWl5557TpI0YMAApaSkePT8VatWKScnR5I0YsQI080DAKAc7mQCAFCPLVq0SJIUERGhQYMG+bg1AICLASETAIB6qri4WEuWLJEkDRkyRKGhoT5uEQDgYkDIBACgnvr666917NgxSUyVBQDUHkImAAB+aO/evXI4HGrXrp19bO3atfYqr86P1NRUl3WUTpVt0KCBbr755gqvtXz5co0cOVItW7ZUSEiI4uPjNXjwYM2ePVuWZRl9XQCA+o+FfwAAqKfS09MlScnJyYqKiip3vqioSOPHj9cHH3xQ5viRI0d05MgRrVixQu+//74WLlxYG80FANQThEwAAPxQ8+bNtWjRIh07dkz333+/JKlbt2564YUXypXt3LlzuWPff/+99u7dK0kaPny4y2s4B8yAgADdeeeduu666xQREaHt27dr1qxZWrFiBV99AgDwCCETAAA/FB4erttuu80OipIUHR2t2267rUrPL50qGxAQ4PI56enpdsCMiIjQZ599pgEDBpQp8+STT+qOO+7QggULqvUaAAAXJz6TCQBAPVQaMvv376/mzZuXO//SSy/Z2zNmzCgXMKWS8Dl37ly1aNHCew0FANQ7hEwAAOqZnTt3asuWLZJcT5U9cOCANmzYIKnk7uiECRMqrCsqKkqTJ0/2TkMBAPUSIRMAgHrmk08+sbddfXVJacCUpIEDByo4OLjS+m644QZzjQMA1HuETAAA6pnSqbKXXnqp2rZtW+78oUOH7O2kpCS39XXs2NFY2wAA9R8hEwCAeuTw4cP69ttvJVW8qmxubq69HRER4bbOqpQBAKAUIRMAgHpk0aJFsixLUsUhs2HDhvZ2Xl6e2zqrUgYAgFKETAAA6pHSqbKJiYnq0aOHyzItW7a0t3fu3Om2zh07dphpHADgokDIBADAjwUE/PpfdekdyoqcOnVKa9eulVTxXUxJ6tevn729Zs0aFRYWVlrvypUrq9JUAAAkETIBAPBrkZGR9vbp06crLbtkyRIVFRVJqjxktmrVSpdffrkk6ZdfftGsWbMqLJubm6uZM2d60mQAwEWOkAkAgB9r2rSpGjduLEnavn278vPzKyxbOlU2Pj6+zN1KV5566il7+/HHH9fXX39drsyZM2d01113lVmNFgAAd4J83QAAAFC5QYMGaf78+crPz9fNN9+scePGqXnz5vZU2sTERMXHx2vFihWSpFtvvVUOh6PSOm+99VaNHTtWH3zwgU6fPq2BAwdq9OjRSk5OVkREhLZv365Zs2Zp3759GjVqlObPn+/11wkAqB8clrsPeAAAAJ/aunWr+vXrV+arR5w9++yz6tmzp0aOHClJWrFihQYNGuS23qKiIt1777368MMPKywzePBgLViwwF6RdsCAAVqzZo3nLwIAcNFguiwAAH6ua9eu2rx5sx555BH16NFDDRs2LLMgkCR98sknkqQmTZpo4MCBVao3KChIH3zwgZYtW6bhw4crLi5OwcHBiouL06BBg+xzzp8LBQDAHe5kAgBQxxUWFqp58+bKysrS2LFj9f777/u6SQCAixh3MgEAqONWr16trKwsSZWvKgsAQG0gZAIAUMeVriobFhamwYMH+7g1AICLHdNlAQAAAADGcCcTAAAAAGAMIRMAAAAAYAwhEwAAAABgDCETAAAAAGAMIRMAAAAAYAwhEwAAAABgDCETAAAAAGAMIRMAAAAAYAwhEwAAAABgDCETAAAAAGAMIRMAAAAAYAwhEwAAAABgDCETAAAAAGAMIRMAAAAAYAwhEwAAAABgDCETAAAAAGDM/wdgt52XFY03ZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 960x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10668258600064605\n"
     ]
    }
   ],
   "source": [
    "plt.figure(dpi=150)\n",
    "plt.plot(t,y,'0.8')\n",
    "plt.errorbar(t,s_sdss,yerr=sigma,fmt='.',ecolor='r',color='r',elinewidth=2,capsize=2,label='SDSS')\n",
    "plt.title(r'$\\tau_{\\rm PM}=516$ d,$\\sigma=0.17$ mag',fontsize=15)\n",
    "plt.xlabel('t/d',fontsize=15)\n",
    "plt.ylabel('m/mag',fontsize=15)\n",
    "plt.ylim(17.5,18.5)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15) \n",
    "plt.legend(fontsize=15)\n",
    "plt.show()\n",
    "print(np.sqrt(np.var(s_sdss)*len(s_sdss)/(len(s_sdss)-1)-np.mean(np.power(sigma,2))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "8e47b92d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 960x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=150)\n",
    "plt.hist(mle_chain,bins=56,range=(0,1000),density=True,color=c2,histtype='step',alpha=0.5)\n",
    "plt.hist(chain,bins=48,range=(0,1000),density=True,color='k',histtype='step')\n",
    "plt.plot(np.full(10,292),np.linspace(0,0.0046,10),'--',lw=3,color='k',alpha=0.5,label=r'$\\tau_{\\rm in}=292$ d')\n",
    "\n",
    "plt.plot(np.full(10,MLE),np.linspace(0,0.0028,10),':',lw=5,color=c2,alpha=0.3,label=r'$\\tau_{\\rm MLE}=223$ d')\n",
    "plt.plot(np.full(10,MAP),np.linspace(0,0.0035,10),lw=5,color=c4,alpha=0.3,label=r'$\\tau_{\\rm MAP}=192$ d')\n",
    "plt.plot(np.full(10,np.median(chain)),np.linspace(0,0.0022,10),lw=5,color=c3,alpha=0.3,\n",
    "         label=r'$\\tau_{\\rm PM}=280$ d')\n",
    "plt.plot(np.full(10,np.mean(chain)),np.linspace(0,0.0011,10),lw=5,color=c1,alpha=0.3,\n",
    "        label=r'$\\tau_{\\rm PE}=420$ d')\n",
    "\n",
    "plt.text(470,0.0001,r'posterior',fontsize=15)\n",
    "text=plt.text(620,0.0008,r'likelihood function',fontsize=15)\n",
    "text.set_color(c2)\n",
    "\n",
    "plt.title(r'$T=8\\ {\\rm yr},\\tau_{\\rm in}=0.1T,N=60,\\sigma_e=\\sigma_{\\rm SDSS}$',fontsize=20)\n",
    "plt.xlabel(r'$\\tau$/d',fontsize=15)\n",
    "plt.ylabel('Probability',fontsize=15)\n",
    "plt.legend(fontsize=15)\n",
    "plt.xlim(0,1000)\n",
    "plt.ylim(0,0.0039)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks([0,0.001,0.002,0.003],fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f7ec423d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "285.7122288294948 249.00852118027666\n"
     ]
    }
   ],
   "source": [
    "x=np.loadtxt('posterior_pm.txt')[:,0]\n",
    "print(np.mean(x),np.median(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5af5d8de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 960x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=150)\n",
    "plt.hist(x,bins=30,range=(0,1000),histtype='step',density=True,color='k')\n",
    "plt.plot(np.full(10,292),np.linspace(0,0.0039,10),'--',lw=3,color='k',alpha=0.5,label=r'$\\tau_{\\rm in}=292$ d')\n",
    "\n",
    "plt.plot(np.full(10,286),np.linspace(0,0.00245,10),lw=5,color='r',alpha=0.5,\n",
    "         label=r'$\\tau_{\\rm out}^{\\rm mean}=286$ d')\n",
    "plt.plot(np.full(10,249),np.linspace(0,0.0029,10),':',lw=5,color='b',label=r'$\\tau_{\\rm out}^{\\rm median}=249$ d')\n",
    "\n",
    "plt.title(r'distribution of $\\tau_{\\rm PM}$ from $10^4$ light curves',fontsize=20)\n",
    "plt.xlabel(r'$\\tau_{\\rm PM}$/d',fontsize=15)\n",
    "plt.ylabel('Probability',fontsize=15)\n",
    "plt.legend(fontsize=15)\n",
    "plt.xlim(0,1000)\n",
    "plt.ylim(0,0.0039)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks([0,0.001,0.002,0.003],fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "13de7570",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
